Э. Митидиери, С. И. Похожаев, “Априорные оценки и отсутствие решений нелинейных уравнений и неравенств в частных производных”, Труды МИАН, 234, Наука, МАИК «Наука/Интерпериодика», М., 2001, 3–383; Proc. Steklov Inst. Math., 234 (2001), 1

Труды Математического института имени В. А. Стеклова

RUS ENG

ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	Общая информация
	Последний выпуск
	Скоро в журнале
	Архив
	Импакт-фактор
	Правила для авторов
	Лицензионный договор

	Поиск публикаций
	Поиск ссылок

	RSS
	Последний выпуск
	Текущие выпуски
	Архивные выпуски
	Что такое RSS

Труды МИАН:
Год:
Том:
Выпуск:
Страница:
	Найти

Персональный вход:
Логин:
Пароль:
	Запомнить пароль
	Войти
	Забыли пароль?
	Регистрация

Труды МИАН, 2001, том 234, страницы 3–383 (Mi tm230)

Эта публикация цитируется в 580 научных статьях (всего в 581 статьях)

Априорные оценки и отсутствие решений нелинейных уравнений и неравенств в частных производных

Э. Митидиери^a, С. И. Похожаев^b

^a University of Trieste
^b Математический институт им. В. А. Стеклова РАН

Аннотация: Предлагается общий подход к априорным оценкам решений нелинейных уравнений и неравенств в частных производных. Рассматриваются их приложения к проблеме отсутствия решений. Метод основан на концепции нелинейной емкости, порождаемой нелинейным дифференциальным оператором. Содержание тома разбито на три части, посвященные эллиптическим, параболическим и гиперболическим нелинейным проблемам.
Для специалистов по нелинейным уравнениям с частными производными, математической физике и прикладной математике, а также аспирантов и студентов старших курсов соответствующих специальностей.

Доступен полный текст статьи

Полный текст: PDF файл (2740 kB)

Список литературы: PDF файл HTML файл

Англоязычная версия:
Proceedings of the Steklov Institute of Mathematics, 2001, 234, 1–362

Реферативные базы данных:

Тип публикации: Книга
УДК: 517

Образец цитирования: Э. Митидиери, С. И. Похожаев, “Априорные оценки и отсутствие решений нелинейных уравнений и неравенств в частных производных”, Труды МИАН, 234, Наука, МАИК «Наука/Интерпериодика», М., 2001, 3–383; Proc. Steklov Inst. Math., 234 (2001), 1–362

Цитирование в формате AMSBIB

\RBibitem{MitPok01}

\by Э.~Митидиери, С.~И.~Похожаев

\paper Априорные оценки и отсутствие решений нелинейных уравнений и неравенств в~частных производных

\serial Труды МИАН

\yr 2001

\vol 234

\pages 3--383

\publ Наука, МАИК «Наука/Интерпериодика»

\publaddr М.

\mathnet{http://mi.mathnet.ru/tm230}

\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1879326}

\zmath{https://zbmath.org/?q=an:1074.35500|0987.35002}

\transl

\jour Proc. Steklov Inst. Math.

\yr 2001

\vol 234

\pages 1--362

Образцы ссылок на эту страницу:

http://mi.mathnet.ru/tm230

http://mi.mathnet.ru/rus/tm/v234/p3

ОТПРАВИТЬ:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

Эта публикация цитируется в следующих статьяx:

Borikhanov M.B., Torebek B.T., “Local Existence and Global Nonexistence Results For An Integro-Differential Diffusion System With Nonlocal Nonlinearities”, Math. Meth. Appl. Sci.
Le P., Duong A.T., Nguyen N.T., “Liouville-Type Theorems For Sub-Elliptic Systems Involving Delta(Lambda)-Laplacian”, Complex Var. Elliptic Equ.
Jleli M., “Instantaneous Blow-Up For a Fractional-in-Time Evolution Equation Arising in Plasma Theory”, Math. Meth. Appl. Sci.
Jleli M., Samet B., “Instantaneous Blow-Up For a Fractional in Time Equation of Sobolev Type”, Math. Meth. Appl. Sci.
Kassymov A. Tokmagambetov N. Torebek B., “Nonexistence Results For the Hyperbolic-Type Equations on Graded Lie Groups”, Bull. Malays. Math. Sci. Soc.
Galakhov E., Salieva O., “Nonexistence of Sign-Changing Solutions For Some Elliptic and Parabolic Inequalities”, Math. Meth. Appl. Sci.
Jleli M., Samet B., “New Critical Behaviors For Semilinear Wave Equations and Systems With Linear Damping Terms”, Math. Meth. Appl. Sci.
Tuan Anh Dao, Fino A.Z., “Critical Exponent For Semi-Linear Structurally Damped Wave Equation of Derivative Type”, Math. Meth. Appl. Sci.
Georgiev V., Palmieri A., “Lifespan Estimates For Local in Time Solutions to the Semilinear Heat Equation on the Heisenberg Group”, Ann. Mat. Pura Appl.
Peng Sh., “Liouville Theorems For Fractional and Higher-Order Henon-Hardy Systems on Double-Struck Capital R-N”, Complex Var. Elliptic Equ.
Kalamajska A., Maria Kosiorek A., “On Maximum Principles For Solutions to Nonlinear Elliptic Odes and Radial Solutions to Nonlinear Elliptic Pde'S Via Opial-Type Inequalities”, Math. Meth. Appl. Sci.
Fino A.Z., “Blow-Up Rates For a Higher-Order Semilinear Parabolic Equation With Nonlinear Memory Term”, Appl. Anal.
Muravnik A.B., “On Absence of Global Solutions of Quasilinear Differential-Convolutional Inequalities”, Complex Var. Elliptic Equ.
Ghergu M., Taliaferro S.D., Verbitsky I.E., “Pointwise Bounds and Blow-Up For Systems of Semilinear Elliptic Inequalities At An Isolated Singularity Via Nonlinear Potential Estimates”, J. Anal. Math.
Xiong Ch., “Uniqueness of Nonnegative Solutions to Elliptic Differential Inequalities on Finsler Manifolds”, Potential Anal.
Garcia-Melian J., Quaas A., Sirakov B., “Liouville Theorems For Nonlinear Elliptic Equations in Half-Spaces”, J. Anal. Math.
Г. Г. Лаптев, “Отсутствие решений полулинейных параболических дифференциальных неравенств в конусах”, Матем. сб., 192:10 (2001), 51–70 ; G. G. Laptev, “Non-existence of solutions of semilinear parabolic differential inequalities in cones”, Sb. Math., 192:10 (2001), 1471–1490
Г. Г. Лаптев, “Об отсутствии решений одного класса сингулярных полулинейных дифференциальных неравенств”, Функциональные пространства, гармонический анализ, дифференциальные уравнения, Сборник статей. К 95-летию со дня рождения академика Сергея Михайловича Никольского, Труды МИАН, 232, Наука, МАИК «Наука/Интерпериодика», М., 2001, 223–235 ; G. G. Laptev, “On the Absence of Solutions for a Class of Singular Semilinear Differential Inequalities”, Proc. Steklov Inst. Math., 232 (2001), 216–228
D'Ambrosio L., “Critical degenerate inequalities on the Heisenberg group”, Manuscripta Mathematica, 106:4 (2001), 519–536
Laptev G.G., “Some nonexistence results for higher–order evolution inequalities in cone–like domains”, Electronic Research Announcements of the American Mathematical Society, 7 (2001), 87–93
Г. Г. Лаптев, “Об отсутствии решений эллиптических дифференциальных неравенств в конических областях”, Матем. заметки, 71:6 (2002), 855–866 ; G. G. Laptev, “Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains”, Math. Notes, 71:6 (2002), 782–793
Дж. Хей, “О необходимых условиях существования локальных решений сингулярных нелинейных обыкновенных дифференциальных уравнений и неравенств”, Матем. заметки, 72:6 (2002), 924–935 ; J. Hay, “On Necessary Conditions for the Existence of Local Solutions to Singular Nonlinear Ordinary Differential Equations and Inequalities”, Math. Notes, 72:6 (2002), 847–857
Г. Г. Лаптев, “Отсутствие решений дифференциальных неравенств и систем гиперболического типа в конических областях”, Изв. РАН. Сер. матем., 66:6 (2002), 65–90 ; G. G. Laptev, “Absence of solutions of differential inequalities and systems of hyperbolic type in conic domains”, Izv. Math., 66:6 (2002), 1147–1170
А. А. Коньков, “Теоремы сравнения для эллиптических неравенств с нелинейностью в главной части”, УМН, 57:3(345) (2002), 141–142 ; A. A. Kon'kov, “Comparison theorems for elliptic inequalities with a non-linearity in the principal part”, Russian Math. Surveys, 57:3 (2002), 599–600
Г. Г. Лаптев, “Об отсутствии решений эллиптических дифференциальных неравенств в окрестности конической точки границы”, Изв. вузов. Матем., 2002, № 9, 50–59 ; G. G. Laptev, “On the nonexistence of solutions of elliptic differential inequalities in a neighborhood of a conic point of the boundary”, Russian Math. (Iz. VUZ), 46:9 (2002), 48–57
Kon'kov A.A., “Behavior of solutions to nonlinear elliptic inequalities in domains of arbitrary geometry”, Doklady Mathematics, 66:3 (2002), 411–414
Caristi G., “On the absence of solutions of systems of quasilinear elliptic inequalities”, Differential Equations, 38:3 (2002), 375–383
Laptev G.G., “Nonexistence of solutions for parabolic inequalities in unbounded cone–like domains via the test function method”, Journal of Evolution Equations, 2:4 (2002), 459–470
Mitidieri E., Pohozaev S.I., “Fujita–type theorems for quasilinear parabolic inequalities with nonlinear gradient”, Doklady Mathematics, 66:2 (2002), 187–191
Besov K.O., “Eigenfunctions of some nonlinear nonlocal operators”, Differential Equations, 38:4 (2002), 510–519
Hay J., “Necessary conditions for the existence of global solutions of higher–order nonlinear ordinary differential inequalities”, Differential Equations, 38:3 (2002), 362–368
Laptev G.G., “Absence of solutions of evolution–type differential inequalities in the exterior of a ball”, Russian Journal of Mathematical Physics, 9:2 (2002), 180–187
Г. Г. Лаптев, “Об отсутствии глобальных решений параболических уравнений типа пористой среды”, Ж. вычисл. матем. и матем. физ., 42:8 (2002), 1191–1199 ; G. G. Laptev, “Nonexistence of global solutions to parabolic porous-medium equations”, Comput. Math. Math. Phys., 42:8 (2002), 1146–1153
G. G. Laptev, “Non-existence of global solutions for higher-order evolution inequalities in unbounded cone-like domains”, Mosc. Math. J., 3:1 (2003), 63–84
Г. Г. Лаптев, “Отсутствие решений эволюционных дифференциальных неравенств высокого порядка”, Сиб. матем. журн., 44:1 (2003), 143–159 ; G. G. Laptev, “Absence of solutions to higher-order evolution differential inequalities”, Siberian Math. J., 44:1 (2003), 117–131
К. О. Бесов, “О глобальной разрешимости полулинейных параболических систем со смешанной правой частью”, Функциональные пространства, приближения, дифференциальные уравнения, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Олега Владимировича Бесова, Труды МИАН, 243, Наука, МАИК «Наука/Интерпериодика», М., 2003, 66–86 ; K. O. Besov, “On the Global Solvability of Semilinear Parabolic Systems with Mixed Right-Hand Side”, Proc. Steklov Inst. Math., 243 (2003), 59–79
С. И. Похожаев, “Об априорных оценках и градиентных катастрофах гладких решений гиперболических систем законов сохранения”, Функциональные пространства, приближения, дифференциальные уравнения, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Олега Владимировича Бесова, Труды МИАН, 243, Наука, МАИК «Наука/Интерпериодика», М., 2003, 257–288 ; S. I. Pokhozhaev, “On a priori Estimates and Gradient Catastrophes of Smooth Solutions to Hyperbolic Systems of Conservation Laws”, Proc. Steklov Inst. Math., 243 (2003), 247–277
С. И. Похожаев, “О многомерных скалярных законах сохранения”, Матем. сб., 194:1 (2003), 147–160 ; S. I. Pokhozhaev, “Multidimensional scalar conservation laws”, Sb. Math., 194:1 (2003), 151–164
Митидиери Э., Похожаев С.И., “Свойство положительности решений некоторых нелинейных эллиптических неравенств в $\mathbb R^n$”, Докл. РАН, 393:2 (2003), 159–164 ; Mitidieri E., Pohozaev S.I., “Positivity property of solutions of some nonlinear elliptic inequalities on $\mathbb R^n$”, Dokl. Math., 68:3 (2003), 339–344
Kon'kov A.A., “Behavior of solutions of quasilinear parabolic inequalities”, Russ. J. Math. Phys., 10:4 (2003), 467–472
Pokhozhaev S.I., “On hyperbolic systems of conservation laws”, Differ. Equ., 39:5 (2003), 701–711
D'Ambrosio L., Lucente S., “Nonlinear Liouville theorems for Grushin and Tricomi operators”, J. Differential Equations, 193:2 (2003), 511–541
Kondrat'ev V.A., “On the existence of positive solutions of second-order semilinear elliptic equations in cylindrical domains”, Russ. J. Math. Phys., 10:1 (2003), 99–108
Galaktionov V.A., Pohozaev S.I., “On similarity solutions and blow–up spectra for a semilinear wave equation”, Quart. Appl. Math., 61:3 (2003), 583–600
Khei Dzh., “Necessary conditions for the existence of global solutions of systems of higher-order nonlinear ordinary differential equations and inequalities”, Differ. Equ., 39:2 (2003), 267–274
Caristi G., Mitidieri E., “Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data”, J. Math. Anal. Appl., 279:2 (2003), 710–722
Хей Дж., “О необходимых условиях существования локальных решений сингулярных обыкновенных нелинейных дифференциальных уравнений и неравенств высокого порядка”, Докл. РАН, 388:5 (2003), 599–603 ; Hay J., “Necessary conditions for the existence of local solutions to higher-order singular nonlinear ordinary differential equations and inequalities”, Dokl. Math., 67:1 (2003), 66–69
Laptev G.G., “Nonexistence results for higher-order evolution partial differential inequalities”, Proc. Amer. Math. Soc., 131:2 (2003), 415–423
Caristi G., “Nonexistence of global solutions of higher order evolution inequalities in R-N”, Nonlinear Equations: Methods, Models and Applications, Progress in Nonlinear Differential Equations and their Applications, 54, 2003, 91–105
Pohozaev S., “The general blow-up for nonlinear PDE's”, Function Spaces, Differential Operators and Nonlinear Analysis: the Hans Triebel Anniversary Volume, 2003, 141–159
А. А. Коньков, “Теоремы сравнения для дивергентных эллиптических неравенств, содержащих члены с младшими производными”, УМН, 59:5(359) (2004), 151–152 ; A. A. Kon'kov, “Comparison theorems for elliptic divergence inequalities containing terms with lower derivatives”, Russian Math. Surveys, 59:5 (2004), 961–962
М. О. Корпусов, “О разрушении решений класса сильно нелинейных уравнений типа Соболева”, Изв. РАН. Сер. матем., 68:4 (2004), 151–204 ; M. O. Korpusov, “Blow-up of solutions of a class of strongly non-linear equations of Sobolev type”, Izv. Math., 68:4 (2004), 783–832
Mitidieri E., Pohozaev S.I., “Liouville–type theorems for certain nonlinear nonlocal problems”, Doklady Mathematics, 70:3 (2004), 954–958
Liskevich V., Skrypnik I.I., Skrypnik I.V., “Positive supersolutions to general nonlinear elliptic equations in exterior domains”, Manuscripta Mathematica, 115:4 (2004), 521–538
Galakhov E.I., “Positive solutions of some semilinear differential inequalities and systems”, Differential Equations, 40:5 (2004), 711–722
D'Ambrosio L., “Some Hardy inequalities on the Heisenberg group”, Differential Equations, 40:4 (2004), 552–564
Budd C.J., Galaktionov V.A., Williams J.F., “Self–similar blow–up in higher–order semilinear parabolic equations”, SIAM Journal on Applied Mathematics, 64:5 (2004), 1775–1809
Ferrero A., Gazzola F., “Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Part III”, Journal of Differential Equations, 198:1 (2004), 53–90
Mitidieri E., Pohozhaev S.I., “On some integral inequalities associated with Riesz potentials”, Doklady Mathematics, 70:1 (2004), 623–627
Pohozaev S.I., Tesei A., “Nonexistence of local solutions to semilinear partial differential inequalities”, Annales de l Institut Henri Poincare–Analyse Non Lineaire, 21:4 (2004), 487–502
Piccirillo A.M., Toscano L., Toscano S., “Blow–up results for parabolic inequalities with Chipot–Weissler nonlinearity in the gradient term”, Advanced Nonlinear Studies, 4:2 (2004), 209–234
Kon'kov A.A., “Comparison theorems for second-order elliptic inequalities”, Nonlinear Analysis-Theory Methods & Applications, 59:4 (2004), 583–608
Gazzola F., “Finite-Time Blow-Up and Global Solutions for Some Nonlinear Parabolic Equations”, Differ. Integral Equ., 17:9-10 (2004), 983–1012
М. О. Корпусов, А. Г. Свешников, “О разрушении решений класса сильно нелинейных волновых диссипативных уравнений типа Соболева с источниками”, Изв. РАН. Сер. матем., 69:4 (2005), 89–128 ; M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of a class of strongly non-linear dissipative wave equations of Sobolev type with sources”, Izv. Math., 69:4 (2005), 733–770
В. А. Кондратьев, “О положительных решениях слабо нелинейных эллиптических уравнений второго порядка в цилиндрических областях”, Дифференциальные уравнения и динамические системы, Сборник статей, Труды МИАН, 250, Наука, МАИК «Наука/Интерпериодика», М., 2005, 183–191 ; V. A. Kondrat'ev, “Positive Solutions to Weakly Nonlinear Elliptic Equations of Second Order on Cylindrical Domains”, Proc. Steklov Inst. Math., 250 (2005), 169–177
К. О. Бесов, “О критических показателях для недиагональных квазилинейных параболических систем”, Исследования по теории функций и дифференциальным уравнениям, Сборник статей. К 100-летию со дня рождения академика Сергея Михайловича Никольского, Труды МИАН, 248, Наука, МАИК «Наука/Интерпериодика», М., 2005, 46–51 ; K. O. Besov, “Critical Exponents for Nondiagonal Quasilinear Parabolic Systems”, Proc. Steklov Inst. Math., 248 (2005), 41–46
Э. Митидиери, С. И. Похожаев, “Лиувиллевы теоремы для некоторых классов нелинейных нелокальных задач”, Исследования по теории функций и дифференциальным уравнениям, Сборник статей. К 100-летию со дня рождения академика Сергея Михайловича Никольского, Труды МИАН, 248, Наука, МАИК «Наука/Интерпериодика», М., 2005, 164–184 ; E. Mitidieri, S. I. Pokhozhaev, “Liouville Theorems for Some Classes of Nonlinear Nonlocal Problems”, Proc. Steklov Inst. Math., 248 (2005), 158–178
М. О. Корпусов, А. Г. Свешников, “О разрушении решения уравнения типа Соболева с нелокальным источником”, Сиб. матем. журн., 46:3 (2005), 567–578 ; M. O. Korpusov, A. G. Sveshnikov, “On blowup of a solution to a Sobolev-type equation with a nonlocal source”, Siberian Math. J., 46:3 (2005), 443–452
Kharibegashvili S., “On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations”, Boundary Value Problems, 2005, no. 3, 359–376
Kirane M., Laskri Y., Tatar N.E., “Critical exponents of Fujita type for certain evolution equations and systems with spatio–temporal fractional derivatives”, Journal of Mathematical Analysis and Applications, 312:2 (2005), 488–501
D'Ambrosio L., “Hardy–type inequalities related to degenerate elliptic differential operators”, Annali Della Scuola Normale Superiore Di Pisa–Classe Di Scienze, 4:3 (2005), 451–486
Figueiredo D.G., Sirakov B., “Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems”, Mathematische Annalen, 333:2 (2005), 231–260
Kondratiev V., Liskevich V., Moroz V., Sobol Z., “A critical phenomenon for sublinear elliptic equations in cone–like domains”, Bulletin of the London Mathematical Society, 37:4 (2005), 585–591
Kon'kov A.A., “Stabilization of solutions of nonlinear parabolic inequalities”, Russian Journal of Mathematical Physics, 12:2 (2005), 197–204
Kondratiev V., Liskevich V., Moroz V., “Positive solutions to superlinear second–order divergence type elliptic equations in cone–like domains”, Annales de l Institut Henri Poincare–Analyse Non Lineaire, 22:1 (2005), 25–43
Piccirillo A.M., Toscano L., Toscano S., “Nonexistence theorems for some nonlinear systems of elliptic inequalities”, Nodea–Nonlinear Differential Equations and Applications, 12:3 (2005), 323–350
Galakhov E.I., “Solvability of an elliptic equation with a gradient nonlinearity”, Differential Equations, 41:5 (2005), 693–702
Piccirillo A.M., Toscano L., Toscano S., “Blow–up results for a class of first–order nonlinear evolution inequalities”, Journal of Differential Equations, 212:2 (2005), 319–350
Il'yasov Y.S., “On global positive solutions of parabolic equations with a sign-indefinite nonlinearity”, Differential Equations, 41:4 (2005), 548–556
Korpusov M.O., Sveshnikov A.G., “Blowup of solutions to initial value problems for nonlinear operator-differential equations”, Doklady Mathematics, 71:2 (2005), 168–171
Havase N., Kaikina E.I., Naumkin P.I., Sanchez-Suarez I., “Asymptotics for Model Nonlinear Nonlocal Equations”, Differ. Integral Equ., 18:11 (2005), 1273–1298
Gazzola F., Weth T., “Finite Time Blow-Up and Global Solutions for Semilinear Parabolic Equations with Initial Data at High Energy Level”, Differ. Integral Equ., 18:9 (2005), 961–990
Г. И. Лаптев, “Существование решений некоторых квазилинейных эллиптических уравнений в $\mathbb R^N$ без условий на бесконечности”, Фундамент. и прикл. матем., 12:4 (2006), 133–147 ; G. I. Laptev, “Existence of solutions of certain quasilinear elliptic equations in $\mathbb R^N$ without conditions at infinity”, J. Math. Sci., 150:5 (2008), 2384–2394
Ю. В. Володин, “О критических показателях некоторых полулинейных краевых задач с бигармоническим оператором во внешности шара”, Матем. заметки, 79:2 (2006), 201–212 ; Yu. V. Volodin, “On the Critical Exponents of Certain Nonlinear Boundary-Value Problems with Biharmonic Operator in the Exterior of a Ball”, Math. Notes, 79:2 (2006), 185–195
М. О. Корпусов, А. Г. Свешников, “О “разрушении” решения сильно нелинейного уравнения псевдопараболического типа с двойной нелинейностью”, Матем. заметки, 79:6 (2006), 879–899 ; M. O. Korpusov, A. G. Sveshnikov, ““Destruction” of the solution of a strongly nonlinear equation of pseudoparabolic type with double nonlinearity”, Math. Notes, 79:6 (2006), 820–840
О. В. Бесов, А. М. Ильин, В. А. Ильин, Л. Д. Кудрявцев, С. М. Никольский, Л. В. Овсянников, Э. Митидиери, А. Тесей, Л. Верон, “Станислав Иванович Похожаев (к 70-летию со дня рождения)”, УМН, 61:2(368) (2006), 177–182 ; O. V. Besov, A. M. Il'in, V. A. Il'in, L. D. Kudryavtsev, S. M. Nikol'skii, L. V. Ovsyannikov, E. Mitidieri, A. Tesei, L. Véron, “Stanislav Ivanovich Pokhozhaev (on his 70th birthday)”, Russian Math. Surveys, 61:2 (2006), 373–378
О. Ф. Меньших, “О задаче Коши для нелинейного уравнения Борна-Инфельда в случае трех независимых переменных”, Труды Третьей Всероссийской научной конференции (29–31 мая 2006 г.). Часть 3, Дифференциальные уравнения и краевые задачи, Матем. моделирование и краев. задачи, СамГТУ, Самара, 2006, 159–162
Hayashi N., Kaikina E.I., Naumkin P.I., Shishmarev I.A., “Asymptotics for dissipative nonlinear equations – Preliminary results”, Asymptotics for Dissipative Nonlinear Equations, Lecture Notes in Mathematics, 1884, 2006, 1
Arioli G., Gazzola F., Grunau H.-Ch., “Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity”, Journal of Differential Equations, 230:2 (2006), 743–770
Kirane M., Tatar N.E., “Nonexistence of solutions to a hyperbolic equation with a time factional damping”, Zeitschrift fur Analysis und Ihre Anwendungen, 25:2 (2006), 131–142
Galakhov E., “Positive solutions of some quasilinear partial differential inequalities and systems”, Mathematische Nachrichten, 279:8 (2006), 831–842
Kon'kov A., “On the asymptotic behaviour of solutions of nonlinear parabolic equations”, Proceedings of the Royal Society of Edinburgh Section A–Mathematics, 136:2 (2006), 365–384
Gazzola F., Grunau H.C., “Radial entire solutions for supercritical biharmonic equations”, Mathematische Annalen, 334:4 (2006), 905–936
D'Ambrosio L., Mitidieri E., Pohozaev S.I., “Representation formulae and inequalities for solutions of a class of second order partial differential equations”, Transactions of the American Mathematical Society, 358:2 (2006), 893–910
Astashova I.V., “Uniform estimates for positive solutions of quasilinear differential equations”, Doklady Mathematics, 74:1 (2006), 555–558
Cao Ya., Titi E.S., “Trivial stationary solutions to the Kuramoto–Sivashinsky and certain nonlinear elliptic equations”, Journal of Differential Equations, 231:2 (2006), 755–767
Galaktionov V.A., “On interfaces and oscillatory solutions of higher–order semilinear parabolic equations with non–Lipschitz nonlinearities”, Studies in Applied Mathematics, 117:4 (2006), 353–389
Galaktionov V.A., Shishkov A.E., “Higher–order quasilinear parabolic equations with singular initial data”, Communications in Contemporary Mathematics, 8:3 (2006), 331–354
da Silva M.D.G., Medeiros L.A., Biazutti A.C., “Vibrations of elastic strings: Unilateral problem”, Journal of Computational Analysis and Applications, 8:1 (2006), 53–73
Galaktionov V.A., Pohozaev S.I., “Blow–up and critical exponents for parabolic equations with non–divergent operators: dual porous medium and thin film operators”, Journal of Evolution Equations, 6:1 (2006), 45–69
Lupo D., Payne K.R., Popivanov N.I., “Nonexistence of nontrivial solutions for supercritical equations of mixed elliptic-hyperbolic type”, Contributions to Nonlinear Analysis - A TRIBUTE TO D. G. DE FIGUEIREDO ON THE OCCASION OF HIS 70TH BIRTHDAY, Progress in Nonlinear Differential Equations and their Applications, 66, 2006, 371–390
Caristi G., Mitidieri E., “Harnack inequality and applications to solutions of biharmonic equations”, Partial Differential Equations and Functional Analysis: The Philippe Clement Festschrift, Operator Theory : Advances and Applications, 168, 2006, 1–26
Liskevich V., Lyakhova S., Moroz V., “Positive Solutions to Singular Semilinear Elliptic Equations with Critical Potential on Cone-Like Domains”, Adv. Differ. Equat., 11:4 (2006), 361–398
А. А. Коньков, “Поведение решений эллиптических неравенств, нелинейных относительно старших производных”, Изв. РАН. Сер. матем., 71:1 (2007), 17–54 ; A. A. Kon'kov, “The behaviour of solutions of elliptic inequalities that are non-linear with respect to the highest derivatives”, Izv. Math., 71:1 (2007), 15–51
Bogveradze G., Kharibegashvili S., “On the global and local solution of the multidimensional Darboux problem for some nonlinear wave equations”, Georgian Mathematical Journal, 14:1 (2007), 65–80
Polacik P., Quittner P., Souplet Ph., “Singularity and decay estimates in superlinear problems via Liouville–type theorems, I: Elliptic equations and systems”, Duke Mathematical Journal, 139:3 (2007), 555–579
Galaktionov V.A., Pohozaev S.I., “Blowup for nonlinear initial–boundary value problems”, Doklady Mathematics, 75:1 (2007), 76–79
Kharibegashvili S.S., “On the existence or absence of global solutions for the multidimensional version of the second Darboux problem for some nonlinear hyperbolic equations”, Differential Equations, 43:3 (2007), 402–416
Ferrero A., Grunau H.-Ch., “The Dirichlet problem for supercritical biharmonic equations with power–type nonlinearity”, Journal of Differential Equations, 234:2 (2007), 582–606
Surnachev M.D., Filimonova I.V., “Existence of positive solutions of a semilinear nondivergence form elliptic equation in a conical domain”, Differential Equations, 43:1 (2007), 147–150
Liskevich V., Lyakhova S., Moroz V., “Positive solutions to nonlinear p–Laplace equations with Hardy potential in exterior domains”, Journal of Differential Equations, 232:1 (2007), 212–252
Gazzola F., Grunau H.-Ch., “Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay”, Calculus of Variations and Partial Differential Equations, 30:3 (2007), 389–415
Xiang Zh., Mu Ch., Du L., “A Liouville–type theorem for a system of parabolic inequalities and its applications”, Applied Mathematics Letters, 20:9 (2007), 976–981
Bagyrov Sh.G., “On the existence of a positive solution of a nonlinear second–order parabolic equation with time–periodic coefficients”, Differential Equations, 43:4 (2007), 581–585
Galakhov E., “Some nonexistence results for quasilinear PDE's”, Communications on Pure and Applied Analysis, 6:1 (2007), 141–161
Kon'kov A.A., “Comparison theorems for elliptic inequalities with a non–linearity in the principal part”, Journal of Mathematical Analysis and Applications, 325:2 (2007), 1013–1041
Kaikina E.I., “Nonlinear pseudoparabolic type equations on a half-line with large initial data”, Nonlinear Analysis-Theory Methods & Applications, 67:10 (2007), 2839–2858
Yuri Bozhkov, Enzo Mitidieri, “Lie Symmetries and Criticality of Semilinear Differential Systems”, SIGMA, 3 (2007), 053, 17 pp.
И. В. Асташова, “Равномерные оценки решений квазилинейных дифференциальных неравенств”, Тр. сем. им. И. Г. Петровского, 26, Изд-во Моск. ун-та, М., 2007, 29–38 ; I. V. Astashova, “Uniform estimates of positive solutions to quasi-linear differential equations”, J. Math. Sci. (N. Y.), 143:4 (2007), 3198–3204
В. А. Галактионов, С. И. Похожаев, “Об отсутствии глобальных решений нелинейных смешанных задач”, Тр. сем. им. И. Г. Петровского, 26, Изд-во Моск. ун-та, М., 2007, 73–91 ; V. A. Galaktionov, S. I. Pokhozhaev, “On the absence of global solutions of nonlinear mixed problems”, J. Math. Sci. (N. Y.), 143:4 (2007), 3226–3238
G. Caristi, L. D'Ambrosio, E. Mitidieri, “Liouville Theorems for Some Nonlinear Inequalities”, Теория функций и нелинейные уравнения в частных производных, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Станислава Ивановича Похожаева, Труды МИАН, 260, МАИК «Наука/Интерпериодика», М., 2008, 97–118 ; Proc. Steklov Inst. Math., 260 (2008), 90–111
Е. И. Галахов, “О дифференциальных неравенствах с точечными особенностями на границе”, Теория функций и нелинейные уравнения в частных производных, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Станислава Ивановича Похожаева, Труды МИАН, 260, МАИК «Наука/Интерпериодика», М., 2008, 119–129 ; E. I. Galakhov, “On Differential Inequalities with Point Singularities on the Boundary”, Proc. Steklov Inst. Math., 260 (2008), 112–122
V. A. Galaktionov, “On Nonexistence of Baras–Goldstein Type without Positivity Assumptions for Singular Linear and Nonlinear Parabolic Equations”, Теория функций и нелинейные уравнения в частных производных, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Станислава Ивановича Похожаева, Труды МИАН, 260, МАИК «Наука/Интерпериодика», М., 2008, 130–150 ; Proc. Steklov Inst. Math., 260 (2008), 123–143
С. И. Похожаев, “О разрушении решений нелинейных смешанных задач”, Теория функций и нелинейные уравнения в частных производных, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Станислава Ивановича Похожаева, Труды МИАН, 260, МАИК «Наука/Интерпериодика», М., 2008, 213–226 ; S. I. Pokhozhaev, “On the Blow-up of Solutions to Nonlinear Initial–Boundary Value Problems”, Proc. Steklov Inst. Math., 260 (2008), 204–217
И. В. Асташова, “Равномерные оценки положительных решений квазилинейных дифференциальных уравнений высокого порядка”, Дифференциальные уравнения и динамические системы, Сборник статей, Труды МИАН, 261, МАИК «Наука/Интерпериодика», М., 2008, 26–36 ; I. V. Astashova, “Uniform Estimates for Positive Solutions of Higher Order Quasilinear Differential Equations”, Proc. Steklov Inst. Math., 261 (2008), 22–33
А. А. Коньков, “Об отсутствии глобальных решений у радиального уравнения $p$-Лапласа”, УМН, 63:1(379) (2008), 161–162 ; A. A. Kon'kov, “On the absence of global solutions of the radial $p$-Laplace equation”, Russian Math. Surveys, 63:1 (2008), 161–162
С. И. Похожаев, “О разрушении решений уравнения Курамото–Сивашинского”, Матем. сб., 199:9 (2008), 97–106 ; S. I. Pokhozhaev, “On blow-up of solutions of the Kuramoto-Sivashinsky equation”, Sb. Math., 199:9 (2008), 1355–1365
О. М. Джохадзе, С. С. Харибегашвили, “О первой задаче Дарбу для нелинейных гиперболических уравнений второго порядка”, Матем. заметки, 84:5 (2008), 693–712 ; O. M. Dzhokhadze, S. S. Kharibegashvili, “First Darboux Problem for Nonlinear Hyperbolic Equations of Second Order”, Math. Notes, 84:5 (2008), 646–663
И. В. Асташова, “Равномерные оценки положительных решений квазилинейных обыкновенных дифференциальных уравнений”, Изв. РАН. Сер. матем., 72:6 (2008), 85–104 ; I. V. Astashova, “Uniform estimates for positive solutions of quasi-linear ordinary differential equations”, Izv. Math., 72:6 (2008), 1141–1160
Galaktionov, VA, “CAPACITY INDUCED BY A NONLINEAR OPERATOR AND APPLICATIONS”, Georgian Mathematical Journal, 15:3 (2008), 501
Caristi, G, “Representation Formulae for Solutions to Some Classes of Higher Order Systems and Related Liouville Theorems”, Milan Journal of Mathematics, 76:1 (2008), 27
Dechevski L., Popivanov N., “Morawetz–Protter 3D Problem for Quasilinear Equations of Elliptic–Hyperbolic Type. Critical and Supercritical Cases”, Comptes Rendus de l Academie Bulgare Des Sciences, 61:12 (2008), 1501–1508
Dechevsky L.T., Popivanov N., “Quasilinear Equations of Elliptic–Hyperbolic Type. Critical 2D Case for Nontrivial Solutions”, Comptes Rendus de l Academie Bulgare Des Sciences, 61:11 (2008), 1385–1392
Pohozaev S.I., “On the nonexistence of global solutions of the Hamilton–Jacobi equation”, Differential Equations, 44:10 (2008), 1467–1477
Kharibegashvili S., Midodashvili B., “On One Boundary Value Problem for a Nonlinear Equation with the Iterated Wave Operator in the Principal Part”, Georgian Mathematical Journal, 15:3 (2008), 541–554
Avila A.I., Brock F., “Asymptotics at infinity of solutions for p–Laplace equations in exterior domains”, Nonlinear Analysis–Theory Methods & Applications, 69:5–6 (2008), 1615–1628
Berikelashvili G.K., Dzhokhadze O.M., Midodashvili B.G., Kharibegashvili S.S., “On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations”, Differential Equations, 44:3 (2008), 374–389
Tatar N.-e., “Nonexistence results for a fractional problem arising in thermal diffusion in fractal media”, Chaos Solitons & Fractals, 36:5 (2008), 1205–1214
Kharibegashvili S.S., “On the solvability of the characteristic cauchy problem for some nonlinear wave equations in the future light cone”, Differential Equations, 44:1 (2008), 135–146
Sirakov B., “Existence results and a priori bounds for higher order elliptic equations and systems”, Journal de Mathematiques Pures et Appliquees, 89:2 (2008), 114–133
Kharibegashvili S., “On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations”, Nonlinear Analysis–Theory Methods & Applications, 68:4 (2008), 912–924
Kharibegashvili S., “On the solvability of the Cauchy characteristic problem for a nonlinear equation with iterated wave operator in the principal part”, Journal of Mathematical Analysis and Applications, 338:1 (2008), 71–81
Galaktionov V.A., “Hermitian Spectral Theory and Blow–Up Patterns for a Fourth–Order Semilinear Boussinesq Equation”, Studies in Applied Mathematics, 121:4 (2008), 395–431
Jokhadze O., Midodashvili B., “The first Darboux problem for wave equations with a nonlinear positive source term”, Nonlinear Analysis–Theory Methods & Applications, 69:9 (2008), 3005–3015
Toscano L., “Absence of Global Solutions to Systems of Perturbed Parabolic Inequalities with Chipot–Weissler Nonlinearity in the Gradient Term”, Advanced Nonlinear Studies, 8:4 (2008), 679–718
Musina R., “Ground state solutions of a critical problem involving cylindrical weights”, Nonlinear Analysis–Theory Methods & Applications, 68:12 (2008), 3972–3986
Galaktionov V.A., Mitidieri E., Pohozaev S.I., “Existence and nonexistence of a global solution to the Kuramoto–Sivashinsky equation”, Doklady Mathematics, 77:2 (2008), 238–242
Caristi G., Mitidieri E., Pohozaev S.I., “Local estimates and Liouville theorems for a class of quasilinear inequalities”, Doklady Mathematics, 77:1 (2008), 85–89
Jokhadze O., “On existence and nonexistence of global solutions of Cauchy–Goursat problem for nonlinear wave equations”, Journal of Mathematical Analysis and Applications, 340:2 (2008), 1033–1045
С. И. Похожаев, “Об отсутствии положительных решений эллиптических уравнений в плоских неограниченных областях”, Матем. заметки, 85:2 (2009), 261–272 ; S. I. Pokhozhaev, “On the Absence of Positive Solutions of Elliptic Equations in Plane Unbounded Domains”, Math. Notes, 85:2 (2009), 240–250
М. О. Корпусов, А. Г. Свешников, “О разрушении решения системы уравнений Осколкова”, Матем. сб., 200:4 (2009), 83–108 ; M. O. Korpusov, A. G. Sveshnikov, “Blow-up of Oskolkov's system of equations”, Sb. Math., 200:4 (2009), 549–572
Caristi, G, “Some Liouville theorems for quasilinear elliptic inequalities”, Doklady Mathematics, 79:1 (2009), 118
Е. И. Галахов, “Об отсутствии локальных решений некоторых эволюционных задач”, Матем. заметки, 86:3 (2009), 337–349 ; E. I. Galakhov, “On the Absence of Local Solutions of Several Evolutionary Problems”, Math. Notes, 86:3 (2009), 314–324
Е. И. Кайкина, П. И. Наумкин, И. А. Шишмарев, “Асимптотика решений при больших временах для нелинейных уравнений типа Соболева”, УМН, 64:3(387) (2009), 3–72 ; E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations”, Russian Math. Surveys, 64:3 (2009), 399–468
Е. И. Галахов, “Об эллиптических и параболических неравенствах с точечными особенностями на границе”, Матем. сб., 200:10 (2009), 3–24 ; E. I. Galakhov, “Elliptic and parabolic inequalities with point singularities on the boundary”, Sb. Math., 200:10 (2009), 1417–1437
Mitidieri E., Pokhozhaev S.I., “Lifespan estimates for solutions of some evolution inequalities”, Differential Equations, 45:10 (2009), 1473–1484
Lyberopoulos A.N., “Existence and Liouville–type theorems for some indefinite quasilinear elliptic problems with potentials vanishing at infinity”, Journal of Functional Analysis, 257:11 (2009), 3593–3616
Davila J., Flores I., Guerra I., “Multiplicity of solutions for a fourth order problem with exponential nonlinearity”, Journal of Differential Equations, 247:11 (2009), 3136–3162
Korpusov M.O., Sveshnikov A.G., “Application of the Nonlinear Capacity Method to Differential Inequalities of Sobolev Type”, Differential Equations, 45:7 (2009), 951–959
Filippucci R., Pucci P., Rigoli M., “On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms”, Journal of Mathematical Analysis and Applications, 356:2 (2009), 689–697
Chen W., Li C., “An Integral System and the Lane–Emden Conjecture”, Discrete and Continuous Dynamical Systems, 24:4 (2009), 1167–1184
Quaas A., Sirakov B., “Existence and Non–existence Results for Fully Nonlinear Elliptic Systems”, Indiana University Mathematics Journal, 58:2 (2009), 751–788
D'Ambrosio L., “Liouville theorems for anisotropic quasilinear inequalities”, Nonlinear Analysis–Theory Methods & Applications, 70:8 (2009), 2855–2869
Filippucci R., “Nonexistence of positive weak solutions of elliptic inequalities”, Nonlinear Analysis–Theory Methods & Applications, 70:8 (2009), 2903–2916
Filippucci R., Pucci P., Rigoli M., “On weak solutions of nonlinear weighted p–Laplacian elliptic inequalities”, Nonlinear Analysis–Theory Methods & Applications, 70:8 (2009), 3008–3019
Kon'kov A.A., “On global solutions of the radial p–Laplace equation”, Nonlinear Analysis–Theory Methods & Applications, 70:10 (2009), 3437–3451
Aliev A.B., Kazymov A.A., “Global Weak Solutions of the Cauchy Problem for Semilinear Pseudo–Hyperbolic Equations”, Differential Equations, 45:2 (2009), 175–185
Serrin J., “Entire solutions of quasilinear elliptic equations”, Journal of Mathematical Analysis and Applications, 352:1 (2009), 3–14
Cassani D., do O J.M., Ghoussoub N., “On a Fourth Order Elliptic Problem with a Singular Nonlinearity”, Advanced Nonlinear Studies, 9:1 (2009), 177–197
Li Yuxiang, “Optimal conditions for L–infinity–regularity and a priori estimates for semilinear elliptic systems”, Journal of Mathematical Analysis and Applications, 351:1 (2009), 257–276
Kondratiev V., Liskevich V., Sobol Z., “Positive Super–Solutions to Semi–Linear Second–Order Non–Divergence Type Elliptic Equations in Exterior Domains”, Transactions of the American Mathematical Society, 361:2 (2009), 697–713
Ferrero A., Grunau H.-Ch., Karageorgis P., “Supercritical biharmonic equations with power–type nonlinearity”, Annali Di Matematica Pura Ed Applicata, 188:1 (2009), 171–185
Vetois J., “A priori estimates for solutions of anisotropic elliptic equations”, Nonlinear Analysis–Theory Methods & Applications, 71:9 (2009), 3881–3905
Pohozaev S.I., “Critical Nonlinearities in Partial Differential Equations”, Milan Journal of Mathematics, 77:1 (2009), 127–150
Yakubov A.Ya., “On nonlinear Volterra equations of convolution type”, Differential Equations, 45:9 (2009), 1326–1336
Galaktionov V.A., “Five types of blow–up in a semilinear fourth–order reaction–diffusion equation: an analytic–numerical approach”, Nonlinearity, 22:7 (2009), 1695–1741
Galakhov E., “A comparison principle for quasilinear operators in unbounded domains”, Nonlinear Analysis–Theory Methods & Applications, 70:12 (2009), 4190–4194
Galaktionov V.A., Mitidieri E., Pohozaev S.I., “On global solutions and blow–up for Kuramoto–Sivashinsky–type models, and well–posed Burnett equations”, Nonlinear Analysis–Theory Methods & Applications, 70:8 (2009), 2930–2952
Galaktionov V.A., “Three types of self–similar blow–up for the fourth–order p–Laplacian equation with source”, Journal of Computational and Applied Mathematics, 223:1 (2009), 326–355
Jokhadze O., “Cauchy-Goursat Problem for One-Dimensional Semilinear Wave Equations”, Communications in Partial Differential Equations, 34:4 (2009), 367–382
Galakhov E.I., “Blow-up of solutions of some nonlinear wave equations”, Differential Equations, 45:1 (2009), 59–67
А. А. Коньков, “Теоремы сравнения для квазилинейных эллиптических неравенств”, Матем. заметки, 87:4 (2010), 630–631 ; A. A. Kon'kov, “Comparison Theorems for Quasilinear Elliptic Inequalities”, Math. Notes, 87:4 (2010), 588–589
Pohozaev S.I., “On the blow–up of sign–changing solutions to semilinear parabolic equations”, Doklady Mathematics, 81:2 (2010), 185–187
Garcia-Melian J., Quiros F., “Fujita exponents for evolution problems with nonlocal diffusion”, Journal of Evolution Equations, 10:1 (2010), 147–161
Aliev A.B., Lichaei B.H., “Existence and non–existence of global solutions of the Cauchy problem for higher order semilinear pseudo–hyperbolic equations”, Nonlinear Analysis–Theory Methods & Applications, 72:7–8 (2010), 3275–3288
Laskri Ya., Tatar N.-e., “The critical exponent for an ordinary fractional differential problem”, Computers & Mathematics With Applications, 59:3 (2010), 1266–1270
Kon'kov A.A., “On global solutions of the radial p–Laplace equation. The case of large p”, Nonlinear Analysis–Theory Methods & Applications, 72:3–4 (2010), 2047–2062
Mari L., Rigoli M., Setti A.G., “Keller–Osserman conditions for diffusion–type operators on Riemannian manifolds”, Journal of Functional Analysis, 258:2 (2010), 665–712
Berchio E., Cassani D., Gazzola F., “Hardy–Rellich inequalities with boundary remainder terms and applications”, Manuscripta Mathematica, 131:3–4 (2010), 427–458
С. И. Похожаев, “Об одном уравнении теории горения”, Матем. заметки, 88:1 (2010), 53–62 ; S. I. Pokhozhaev, “Concerning an Equation in the Theory of Combustion”, Math. Notes, 88:1 (2010), 48–56
Е. И. Галахов, “Об эллиптических и параболических неравенствах высокого порядка с сингулярностями на границе”, Теория функций и дифференциальные уравнения, Сборник статей. К 105-летию со дня рождения академика Сергея Михайловича Никольского, Труды МИАН, 269, МАИК «Наука/Интерпериодика», М., 2010, 82–90 ; E. I. Galakhov, “On higher order elliptic and parabolic inequalities with singularities on the boundary”, Proc. Steklov Inst. Math., 269 (2010), 76–84
С. И. Похожаев, “Разрушение знакопеременных решений квазилинейных параболических уравнений”, Теория функций и дифференциальные уравнения, Сборник статей. К 105-летию со дня рождения академика Сергея Михайловича Никольского, Труды МИАН, 269, МАИК «Наука/Интерпериодика», М., 2010, 215–224 ; S. I. Pohozaev, “Blow-up of sign-changing solutions to quasilinear parabolic equations”, Proc. Steklov Inst. Math., 269 (2010), 208–217
С. И. Похожаев, “О сингулярных решениях уравнения Кортевега–де Фриза”, Матем. заметки, 88:5 (2010), 770–777 ; S. I. Pokhozhaev, “On the Singular Solutions of the Korteweg–de Vries Equation”, Math. Notes, 88:5 (2010), 741–747
П. П. Матус, “О корректности разностных схем для полулинейного параболического уравнения с обобщенными решениями”, Ж. вычисл. матем. и матем. физ., 50:12 (2010), 2155–2175 ; P. P. Matus, “Well-posedness of difference schemes for semilinear parabolic equations with weak solutions”, Comput. Math. Math. Phys., 50:12 (2010), 2044–2063
Chen C., Wang Zh., Wang F., “Existence and Nonexistence of Positive Solutions for Singular p-Laplacian Equation in R-N”, Bound Value Probl, 2010, 607453
Galaktionov V.A., Kamotski I.V., “On Nonexistence of Baras-Goldstein Type for Higher-Order Parabolic Equations with Singular Potentials”, Trans Amer Math Soc, 362:8 (2010), 4117–4136
Gazzola F., Grunau H.-Ch., Sweers G., “Models of Higher Order”, Polyharmonic Boundary Value Problems, Lecture Notes in Mathematics, 1991, 2010, 1
Fino A., Karch G., “Decay of mass for nonlinear equation with fractional Laplacian”, Monatsh Math, 160:4 (2010), 375–384
Davila J., Flores I., Guerra I., “Multiplicity of solutions for a fourth order equation with power-type nonlinearity”, Math Ann, 348:1 (2010), 143–193
Antontsev S., Shmarev S., “Blow-up of solutions to parabolic equations with nonstandard growth conditions”, J Comput Appl Math, 234:9 (2010), 2633–2645
Filippucci R., Pucci P., Rigoli M., “Nonlinear Weighted P-Laplacian Elliptic Inequalities with Gradient Terms”, Commun Contemp Math, 12:3 (2010), 501–535
Pokhozhaev S.I., “On stationary solutions of the Vlasov–Poisson equations”, Differ Equ, 46:4 (2010), 530–537
Dancer E.N., Wei J., Weth T., “A priori bounds versus multiple existence of positive solutions for a nonlinear Schrodinger system”, Ann Inst H Poincaré Anal Non Linéaire, 27:3 (2010), 953–969
Galaktionov V.A., “Incomplete Self-Similar Blow-Up in a Semilinear Fourth-Order Reaction-Diffusion Equation”, Stud Appl Math, 124:4 (2010), 347–381
Aliev A.B., Mamedov F.V., “Existence and nonexistence of global solutions of the cauchy problem for semilinear hyperbolic equations with dissipation and with anisotropic elliptic part”, Differ Equ, 46:3 (2010), 309–320
Ambrosio Lorenzo D', Mitidieri E., “A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities”, Adv Math, 224:3 (2010), 967–1020
Г. А. Рудых, “Анализ стационарных решений начально-краевой задачи для нелокального параболического уравнения физики плазмы”, Известия Иркутского государственного университета. Серия Математика, 3:2 (2010), 61–87
М. О. Корпусов, “О разрушении ионно-звуковых волн в плазме”, Матем. сб., 202:1 (2011), 37–64 ; M. O. Korpusov, “Blow-up of ion acoustic waves in a plasma”, Sb. Math., 202:1 (2011), 35–60
С. И. Похожаев, “О некоторых весовых тождествах для решений обобщенных уравнений Кортевега–де Фриза”, Матем. заметки, 89:3 (2011), 393–409 ; S. I. Pokhozhaev, “Weighted Identities for the Solutions of Generalized Korteweg–de Vries Equations”, Math. Notes, 89:3 (2011), 382–396
М. О. Корпусов, А. Г. Свешников, “Об эффекте релаксации за конечное время решения нелинейного псевдопараболического уравнения”, Ж. вычисл. матем. и матем. физ., 51:3 (2011), 407–435 ; M. O. Korpusov, A. G. Sveshnikov, “Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation”, Comput. Math. Math. Phys., 51:3 (2011), 377–403
М. О. Корпусов, “О разрушении решений волновых уравнений в системах с распределенными параметрами”, ТМФ, 167:2 (2011), 206–213 ; M. O. Korpusov, “Destruction of solutions of wave equations in systems with distributed parameters”, Theoret. and Math. Phys., 167:2 (2011), 577–583
С. И. Похожаев, “Об отсутствии глобальных решений уравнения Кортевега–де Фриза”, Уравнения в частных производных, СМФН, 39, РУДН, М., 2011, 141–150 ; S. I. Pohozaev, “On the absence of global solutions of the Korteweg–de Vries equation”, Journal of Mathematical Sciences, 190:1 (2013), 147–156
Farina A., Serrin J., “Entire solutions of completely coercive quasilinear elliptic equations”, J Differential Equations, 250:12 (2011), 4367–4408
Jeanjean L., Squassina M., “An approach to minimization under a constraint: the added mass technique”, Calc Var Partial Differential Equations, 41:3–4 (2011), 511–534
Lan K.Q., “Positive weak solutions of semilinear second order elliptic inequalities via variational inequalities”, J Math Anal Appl, 380:2 (2011), 520–530
Kharibegashvili S., Midodashvili B., “On the solvability of one boundary value problem for some semilinear wave equations with source terms”, NoDEA Nonlinear Differential Equations Appl, 18:2 (2011), 117–138
Surnachev M., “Asymptotic behaviour of solutions of nondivergence type semilinear elliptic equations in conical domains I”, Asymptot Anal, 71:4 (2011), 227–243
Chen C., Shi L., Zhu Sh., “Nonexistence of positive entire solutions for a class of (p, q)-Laplacian elliptic systems”, Appl Math Lett, 24:6 (2011), 831–837
Li X., Li F., “A priori estimates for nonlinear differential inequalities and applications”, J Math Anal Appl, 378:2 (2011), 723–733
Chen C., Zhu Sh., Shi L., “Remarks on nonexistence of solutions of mixed sublinear and superlinear elliptic equation in R-N”, J Math Anal Appl, 379:1 (2011), 8–14
Lazzo M., Schmidt P.G., “Periodic Solutions and Invariant Manifolds for an Even-Order Differential Equation with Power Nonlinearity”, J Dynam Differential Equations, 23:1 (2011), 141–166
Kharibegashvili S., Midodashvili B., “Global solvability of the Cauchy characteristic problem for one class of nonlinear second order hyperbolic systems”, J Math Anal Appl, 376:2 (2011), 750–759
Magliaro M., Mari L., Mastrolia P., Rigoli M., “Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group”, J Differential Equations, 250:6 (2011), 2643–2670
Filippucci R., “Nonexistence of nonnegative solutions of elliptic systems of divergence type”, J Differential Equations, 250:1 (2011), 572–595
М. О. Корпусов, “О разрушении решения одной системы уравнений ионно-звуковых волн в плазме”, Сиб. матем. журн., 52:3 (2011), 600–614 ; M. O. Korpusov, “On blowup of solutions to a system of equations of ion sound waves in plasma”, Siberian Math. J., 52:3 (2011), 471–483
М. О. Корпусов, “О разрушении внутренних гравитационных волн с нелинейными источниками”, Изв. РАН. Сер. матем., 75:4 (2011), 29–48 ; M. O. Korpusov, “On the blow-up of internal gravitational waves with non-linear sources”, Izv. Math., 75:4 (2011), 691–710
М. О. Корпусов, “О разрушении гравитационно-гироскопических волн с нелинейными источниками и стоками на границе”, Матем. тр., 14:2 (2011), 83–126 ; M. O. Korpusov, “On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary”, Siberian Adv. Math., 22:3 (2012), 161–191
И. Г. Царьков, “Устойчивость однозначной разрешимости квазилинейных уравнений по дополнительной информации”, Матем. заметки, 90:6 (2011), 918–946 ; I. G. Tsar'kov, “Stability of Unique Solvability of Quasilinear Equations Given Additional Data”, Math. Notes, 90:6 (2011), 894–919
М. О. Корпусов, “О разрушении ионно-звуковых волн в плазме с сильной пространственно-временной дисперсией”, Алгебра и анализ, 23:6 (2011), 96–130 ; M. O. Korpusov, “Blow up of ion-acoustic waves in plasma with strong time-spatial dispertion”, St. Petersburg Math. J., 23:6 (2012), 989–1011
Харибегашвили С.С., Джохадзе О.М., “Задача Коши для лобобщенного нелинейного уравнения Лиувилля”, Дифференциальные уравнения, 47:12 (2011), 1741 ; Kharibegashvili S.S., Dzhokhadze O.M., “Cauchy Problem for a Generalized Nonlinear Liouville Equation”, Differ Equ, 47:12 (2011), 1763–1775
Armstrong S.N., Sirakov B., “Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle”, Comm Partial Differential Equations, 36:11 (2011), 2011–2047
Похожаев С.И., “О зависимости критического показателя нелинейного уравнения теплопроводности от начальной функции”, Дифференциальные уравнения, 47:7 (2011), 946–953 ; Pokhozhaev S.I., “On the Dependence of the Critical Exponent of the Nonlinear Heat Equation on the Initial Function”, Differ Equ, 47:7 (2011), 955–962
Antontsev S., “Wave equation with p(x, t)-Laplacian and damping term: Blow-up of solutions”, Comptes Rendus Mecanique, 339:12 (2011), 751–755
Armstrong S.N., Sirakov B., “Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities”, Ann Sc Norm Super Pisa Cl Sci, 10:3 (2011), 711–728
Li J., Yin J., Jin Ch., “Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations”, Cent Eur J Math, 9:6 (2011), 1435–1447
Kerbal S., Kirane M., “Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations”, Abstr Appl Anal, 2011, 149091
Berbiche M., “Nonexistence of Solutions Results for Certain Fractional Differential Equations”, Math Model Anal, 16:3 (2011), 488–497
Ghoul T.-e., “An extension of Dickstein's “small lambda” theorem for finite time blowup”, Nonlinear Analysis-Theory Methods & Applications, 74:17 (2011), 6105–6115
Gazzola F., Pavani R., “Blow up oscillating solutions to some nonlinear fourth order differential equations”, Nonlinear Analysis-Theory Methods & Applications, 74:17 (2011), 6696–6711
Lan K.Q., Lin W., “A variational inequality index for condensing maps in Hilbert spaces and applications to semilinear elliptic inequalities”, Nonlinear Analysis-Theory Methods & Applications, 74:16 (2011), 5415–5425
Fino A.Z., “Critical exponent for damped wave equations with nonlinear memory”, Nonlinear Analysis-Theory Methods & Applications, 74:16 (2011), 5495–5505
Zhang Zh., Li Zh., “An optimal Liouville-type theorem of the quasilinear parabolic equation with a p-Laplace operator”, Nonlinear Analysis-Theory Methods & Applications, 74:16 (2011), 5735–5744
Kerbal S., “On a recent result of Cazenave, Dickstein and Weissler”, Appl Math Lett, 24:10 (2011), 1693–1697
Galaktionov V.A., Mitidieri E., Pohozaev S.I., “Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II”, Nonlinear Anal Real World Appl, 12:4 (2011), 2435–2466
Fino A.Z., Kirane M., “Qualitative properties of solutions to a nonlocal evolution system”, Math Methods Appl Sci, 34:9 (2011), 1125–1143
Dzhokhadze O.M., Kharibegashvili S.S., “Some properties and applications of the Riemann and Green-Hadamard functions for linear second-order hyperbolic equations”, Differ Equ, 47:4 (2011), 471–487
Похожаев С.И., “Об отсутствии глобальных решений некоторых начально-краевых задач для уравнения Кортевега–де Фриза”, Дифференциальные уравнения, 47:4 (2011), 493–498 ; Pokhozhaev S.I., “On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation”, Differ Equ, 47:4 (2011), 488–493
Похожаев С.И., “О существовании и отсутствии решений некоторых квазилинейных гиперболических уравнений”, Дифференциальные уравнения, 47:12 (2011), 1732–1732 ; Pokhozhaev S.I., “On the Existence and Nonexistence of Solutions of Some Quasilinear Hyperbolic Equations”, Differ Equ, 47:12 (2011), 1754–1762
Ю. В. Мухартова, А. А. Панин, “О разрушении решения одной неоднородной системы уравнений типа С. Л. Соболева”, Матем. заметки, 91:2 (2012), 225–239 ; Yu. V. Mukhartova, A. A. Panin, “Blow-Up of the Solution of an Inhomogeneous System of Sobolev-Type Equations”, Math. Notes, 91:2 (2012), 217–230
М. О. Корпусов, “О разрушении решений трехмерного уравнения Розенау–Бюргерса”, ТМФ, 170:3 (2012), 342–349 ; M. O. Korpusov, “Blowup of solutions of the three-dimensional Rosenau–Burgers equation”, Theoret. and Math. Phys., 170:3 (2012), 280–286
М. О. Корпусов, “О разрушении ионно-звуковых волн в плазме с нелинейными источниками на границе”, Изв. РАН. Сер. матем., 76:2 (2012), 103–140 ; M. O. Korpusov, “Blow-up of ion-sound waves in plasma with non-linear sources on the boundary”, Izv. Math., 76:2 (2012), 310–345
М. О. Корпусов, “О разрушении решений модельных волновых уравнений с положительной энергией в нелинейной механике”, ТМФ, 171:1 (2012), 3–17 ; M. O. Korpusov, “Blowup of a positive-energy solution of model wave equations in nonlinear dynamics”, Theoret. and Math. Phys., 171:1 (2012), 421–434
Ю. В. Мухартова, А. А. Панин, “О разрушении решения одной неоднородной системы уравнений соболевского типа”, Изв. РАН. Сер. матем., 76:3 (2012), 157–182 ; Yu. V. Mukhartova, A. A. Panin, “Blow-up of solutions of an inhomogeneous system of Sobolev-type equations”, Izv. Math., 76:3 (2012), 581–606
Fino A.Z., Kirane M., “Qualitative Properties of Solutions to a Time-Space Fractional Evolution Equation”, Quart Appl Math, 70:1 (2012), 133–157
Fino A.Z., Jazar M., “Blow-up solutions of second-order differential inequalities with a nonlinear memory term”, Nonlinear Analysis-Theory Methods & Applications, 75:6 (2012), 3122–3129
Kalamajska A., Pietruska-Paluba K., Skrzypczak I., “Nonexistence Results for Differential Inequalities Involving a-Laplacian”, Advances in Differential Equations, 17:3–4 (2012), 307–336
Liu Ch., “Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone”, Monatsh Math, 165:2 (2012), 237–249
Kon'kov A.A., “On comparison theorems for elliptic inequalities”, J Math Anal Appl, 388:1 (2012), 102–124
Li X., Li F., “Nonexistence of solutions for singular quasilinear differential inequalities with a gradient nonlinearity”, Nonlinear Analysis-Theory Methods & Applications, 75:5 (2012), 2812–2822
Fazly M., “Liouville Type Theorems for Stable Solutions of Certain Elliptic Systems”, Adv Nonlinear Stud, 12:1 (2012), 1–17
Korpusov M.O., “On the blow-up of solutions of the Benjamin-Bona-Mahony-Burgers and Rosenau-Burgers equations”, Nonlinear Analysis-Theory Methods & Applications, 75:4 (2012), 1737–1743
Quoc Hung Phan, Souplet Ph., “Liouville-type theorems and bounds of solutions of Hardy-Henon equations”, J Differential Equations, 252:3 (2012), 2544–2562
Berchio E., Farina A., Ferrero A., Gazzola F., “Existence and stability of entire solutions to a semilinear fourth order elliptic problem”, J Differential Equations, 252:3 (2012), 2596–2616
Aliev A.B., Kazimov A.A., “Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms”, Nonlinear Analysis-Theory Methods & Applications, 75:1 (2012), 91–102
Zhang Zh., Li Zh., “A universal bound for radial solutions of the quasilinear parabolic equation with p-Laplace operator”, J Math Anal Appl, 385:1 (2012), 125–134
Е. В. Юшков, “О разрушении решения уравнения, родственного уравнению Кортевега–де Фриза”, ТМФ, 172:1 (2012), 64–72 ; E. V. Yushkov, “Blowup of solutions of a Korteweg–de Vries-type equation”, Theoret. and Math. Phys., 172:1 (2012), 932–938
Коньков А.А., “О свойствах решений нелинейных эллиптических неравенств, содержащих члены с младшими производными”, Доклады Академии наук, 442:3 (2012), 306–306 ; Kon'kov A.A., “On the properties of solutions of nonlinear elliptic inequalities containing terms with lower order derivatives”, Doklady Mathematics, 85:1 (2012), 51–54
Корпусов М.О., “О разрушении решения уравнения с градиентной нелинейностью”, Дифференциальные уравнения, 48:6 (2012), 790–790 ; Korpusov M.O., “On the Blow-Up of the Solution of an Equation with a Gradient Nonlinearity”, Differ. Equ., 48:6 (2012), 796–808
Похожаев С.И., “Отсутствие глобальных знакопеременных решений нелинейного уравнения теплопроводности”, Доклады Академии наук, 443:3 (2012), 296–296 ; Pohozaev S.I., “Blow-Up of Global Sign-Changing Solutions of a Nonlinear Heat Equation”, Dokl. Math., 85:2 (2012), 225–228
Похожаев С.И., “Об одном классе начально-краевых задач для уравнений типа кортевега–де фриза”, Дифференциальные уравнения, 48:3 (2012), 368–368
Е. И. Галахов, “Об одной модели нелинейного рассеяния”, Матем. заметки, 92:3 (2012), 368–380 ; E. I. Galakhov, “On a Nonlinear Scattering Model”, Math. Notes, 92:3 (2012), 333–344
М. О. Корпусов, “О разрушении решений волнового диссипативного уравнения типа Кирхгоффа с источником и с положительной энергией”, Сиб. матем. журн., 53:4 (2012), 874–891 ; M. O. Korpusov, “On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy”, Siberian Math. J., 53:4 (2012), 702–717
М. О. Корпусов, “Разрушение решений уравнения теплопроводности с двойной нелинейностью”, ТМФ, 172:3 (2012), 339–343 ; M. O. Korpusov, “Solution blowup for the heat equation with double nonlinearity”, Theoret. and Math. Phys., 172:3 (2012), 1173–1176
Е. В. Юшков, “О разрушении решения в системах типа Кортвега–де Фриза”, ТМФ, 173:2 (2012), 197–206 ; E. V. Yushkov, “Blowup in Korteweg–de Vries-type systems”, Theoret. and Math. Phys., 173:2 (2012), 1498–1506
Е. В. Юшков, “О разрушении решений задач гидродинамического типа с сингулярным источником”, Ж. вычисл. матем. и матем. физ., 52:8 (2012), 1523–1535
С. И. Похожаев, “Об отсутствии глобальных решений задачи Коши для уравнения Кортевега–де Фриза”, Функц. анализ и его прил., 46:4 (2012), 51–60 ; S. I. Pokhozhaev, “On the Nonexistence of Global Solutions of the Cauchy Problem for the Korteweg–de Vries Equation”, Funct. Anal. Appl., 46:4 (2012), 279–286
D'Ambrosio L., Mitidieri E., “A Priori Estimates and Reduction Principles for Quasilinear Elliptic Problems and Applications”, Adv. Differ. Equat., 17:9-10 (2012), 935–1000
Wang W., Hong L., “Liouville-Type Theorems for Semilinear Elliptic Systems”, Nonlinear Anal.-Theory Methods Appl., 75:13 (2012), 5380–5391
Pohozaev S.I., “Blow-Up of Smooth Solutions of the Korteweg-de Vries Equation”, Nonlinear Anal.-Theory Methods Appl., 75:12 (2012), 4688–4698
Quoc Hung Phan, “Liouville-Type Theorems and Bounds of Solutions for Hardy-Henon Elliptic Systems”, Adv. Differ. Equat., 17:7-8 (2012), 605–634
Sun F. Shi P., “Global Existence and Non-Existence for a Higher-Order Parabolic Equation with Time-Fractional Term”, Nonlinear Anal.-Theory Methods Appl., 75:10 (2012), 4145–4155
Li X. Li F., “Nonexistence of Solutions for Nonlinear Differential Inequalities with Gradient Nonlinearities”, Commun. Pure Appl. Anal, 11:3 (2012), 935–943
Kharibegashvili S., Midodashvili B., “Solvability of Nonlocal Problems for Semilinear One-Dimensional Wave Equations”, Electron. J. Differ. Equ., 2012, 28
Quittner P., Souplet Ph., “Symmetry of Components for Semilinear Elliptic Systems”, SIAM J. Math. Anal., 44:4 (2012), 2545–2559
Qassim M.D., Furati K.M., Tatar N.-E., “On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative”, Abstract Appl. Anal., 2012, 391062
Манита О.А., Шапошников С.В., “Нелинейные параболические уравнения для мер”, Доклады академии наук, 447:6 (2012), 610–610 ; Manita O.A., Shaposhnikov S.V., “Nonlinear Parabolic Equations for Measures”, Dokl. Math., 86:3 (2012), 857–860
Юшков Е.В., “О разрушении решений уравнений гидродинамического типа при специальных граничных условиях”, Дифференциальные уравнения, 48:9 (2012), 1234–1234 ; Yushkov E.V., “On the Blow-Up of Solutions of Equations of Hydrodynamic Type Under Special Boundary Conditions”, Differ. Equ., 48:9 (2012), 1212–1218
Дж. О. Огун, Ю. Н. Орлов, В. Ж. Сакбаев, “О преобразовании пространства начальных данных для задачи Коши с особенностями решения типа взрыва”, Препринты ИПМ им. М. В. Келдыша, 2012, 087, 31 с.
М. О. Корпусов, “О разрушении решения уравнения, родственного уравнению Гамильтона–Якоби”, Матем. заметки, 93:1 (2013), 81–95 ; M. O. Korpusov, “On the Blow-Up of the Solution of an Equation Related to the Hamilton–Jacobi Equation”, Math. Notes, 93:1 (2013), 90–101
Э. И. Абдурагимов, “Единственность положительного радиально-симметричного решения задачи Дирихле для одной нелинейной эллиптической системы второго порядка”, Матем. заметки, 93:1 (2013), 3–12 ; E. I. Abduragimov, “Uniqueness of Positive Radially Symmetric Solutions of the Dirichlet Problem for a Nonlinear Elliptic System of Second Order”, Math. Notes, 93:1 (2013), 3–11
М. О. Корпусов, “О разрушении решений класса параболических уравнений с двойной нелинейностью”, Матем. сб., 204:3 (2013), 19–42 ; M. O. Korpusov, “Solution blow-up for a class of parabolic equations with double nonlinearity”, Sb. Math., 204:3 (2013), 323–346
М. О. Корпусов, “Разрушение решений обобщенного уравнения Клейна–Гордона с сильной диссипацией”, Изв. РАН. Сер. матем., 77:2 (2013), 109–138 ; M. O. Korpusov, “Blow-up of solutions of strongly dissipative generalized Klein–Gordon equations”, Izv. Math., 77:2 (2013), 325–353
М. О. Корпусов, “Разрушение решений нелинейных уравнений и систем нелинейных уравнений теории волн”, ТМФ, 174:3 (2013), 355–363 ; M. O. Korpusov, “Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory”, Theoret. and Math. Phys., 174:3 (2013), 307–314
В. Ж. Сакбаев, “Разрушение решений задачи Коши для нелинейного уравнений Шрёдингера”, Вестн. Сам. гос. техн. ун-та. Сер. Физ.-мат. науки, 1(30) (2013), 159–171
Kharibegashvili S., Midodashvili B., “On the Solvability of One Boundary Value Problem for One Class of Semilinear Second Order Hyperbolic Systems”, J. Math. Anal. Appl., 400:2 (2013), 345–362
Lei Yu., “Asymptotic Properties of Positive Solutions of the Hardy-Sobolev Type Equations”, J. Differ. Equ., 254:4 (2013), 1774–1799
D'Ambrosio L., “A New Critical Curve for a Class of Quasilinear Elliptic Systems”, Nonlinear Anal.-Theory Methods Appl., 78 (2013), 62–78
Алиев А.Б., Казимов А.А., “Глобальная разрешимость задачи коши для полулинейных гиперболических уравнений с диссипацией и анизотропной эллиптической частью”, Доклады академии наук, 448:3 (2013), 255–255
Корпусов М.О., “О разрушении решений одной диссипативной системы уравнений с положительной энергией в классической теории поля”, Дифференциальные уравнения, 49:3 (2013), 310–310
Алиев А.Б., Казимов А.А., “Глобальная разрешимость и поведение решений задачи Коши для систем двух полулинейных гиперболических уравнений с диссипацией”, Дифференциальные уравнения, 49:4 (2013), 476–476
Похожаев С.И., “Отсутствие глобальных решений нелинейных эволюционных уравнений”, Дифференциальные уравнения, 49:5 (2013), 625–625
Е. И. Галахов, “Принципы сравнения для оператора $p$-Лапласа”, Труды Шестой Международной конференции по дифференциальным и функционально-дифференциальным уравнениям (Москва, 14–21 августа, 2011). Часть 4, СМФН, 48, РУДН, М., 2013, 27–35 ; E. I. Galakhov, “Comparison principles for the $p$-Laplacian operator”, Journal of Mathematical Sciences, 202:6 (2014), 825–834
А. Б. Муравник, “О разрушении решений некоторых систем квазилинейных параболических неравенств”, Труды Шестой Международной конференции по дифференциальным и функционально-дифференциальным уравнениям (Москва, 14–21 августа, 2011). Часть 4, СМФН, 48, РУДН, М., 2013, 84–92 ; A. B. Muravnik, “On blow-up of solutions of some systems of quasilinear parabolic inequalities”, Journal of Mathematical Sciences, 202:6 (2014), 859–868
С. С. Харибегашвили, О. М. Джохадзе, “Задача Коши–Гурса для волновых уравнений с нелинейным диссипативным членом”, Матем. заметки, 94:6 (2013), 889–907 ; S. S. Kharibegashvili, O. M. Dzhokhadze, “The Cauchy–Goursat Problem for Wave Equations with Nonlinear Dissipative Term”, Math. Notes, 94:6 (2013), 913–929
А. А. Панин, “Локальная разрешимость и разрушение решения для уравнения Розенау–Бюргерса с различными граничными условиями”, ТМФ, 177:1 (2013), 93–110 ; A. A. Panin, “Local solvability and blowup of the solution of the Rosenau–Bürgers equation with different boundary conditions”, Theoret. and Math. Phys., 177:1 (2013), 1361–1376
М. О. Корпусов, Е. В. Юшков, “Разрушение решений систем уравнений мелкой воды”, ТМФ, 177:2 (2013), 264–275 ; M. O. Korpusov, E. V. Yushkov, “Solution blowup for systems of shallow-water equations”, Theoret. and Math. Phys., 177:2 (2013), 1505–1514
В. Ж. Сакбаев, “Градиентный взрыв решений задачи Коши для уравнения Шрёдингера”, Теория функций и уравнения математической физики, Сборник статей. К 90-летию со дня рождения члена-корреспондента РАН Льва Дмитриевича Кудрявцева, Труды МИАН, 283, МАИК «Наука/Интерпериодика», М., 2013, 171–187 ; V. Zh. Sakbaev, “Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation”, Proc. Steklov Inst. Math., 283 (2013), 165–180
Е. И. Галахов, “О некоторых неравенствах в частных производных с градиентными слагаемыми”, Теория функций и уравнения математической физики, Сборник статей. К 90-летию со дня рождения члена-корреспондента РАН Льва Дмитриевича Кудрявцева, Труды МИАН, 283, МАИК «Наука/Интерпериодика», М., 2013, 40–48 ; E. I. Galakhov, “On some partial differential inequalities with gradient terms”, Proc. Steklov Inst. Math., 283 (2013), 35–43
Lorenzo D'Ambrosio, Enzo Mitidieri, “Entire solutions of quasilinear elliptic systems on Carnot groups”, Теория функций и уравнения математической физики, Сборник статей. К 90-летию со дня рождения члена-корреспондента РАН Льва Дмитриевича Кудрявцева, Труды МИАН, 283, МАИК «Наука/Интерпериодика», М., 2013, 9–24 ; Proc. Steklov Inst. Math., 283 (2013), 3–19
С. С. Харибегашвили, О. М. Джохадзе, “Задача Коши–Дарбу для одномерного волнового уравнения со степенной нелинейностью”, Сиб. матем. журн., 54:6 (2013), 1407–1426 ; S. S. Kharibegashvili, O. M. Dzhokhadze, “The Cauchy–Darboux problem for the one-dimensional wave equation with power nonlinearity”, Siberian Math. J., 54:6 (2013), 1120–1136
Amorim P. Antontsev S., “Young Measure Solutions for the Wave Equation with P(X, T)-Laplacian: Existence and Blow-Up”, Nonlinear Anal.-Theory Methods Appl., 92 (2013), 153–167
И. В. Асташова, “О равномерных оценках решений нелинейного дифференциального уравнения третьего порядка”, Тр. сем. им. И. Г. Петровского, 29, Изд-во Моск. ун-та, М., 2013, 146–161 ; I. V. Astashova, “Uniform estimates of solutions of a nonlinear third-order differential equation”, J. Math. Sci. (N. Y.), 197:2 (2014), 237–247
А. А. Коньков, “О стабилизации решений нелинейного уравнения Фоккера–Планка”, Тр. сем. им. И. Г. Петровского, 29, Изд-во Моск. ун-та, М., 2013, 333–345 ; A. A. Kon'kov, “Stabilization of solutions of the nonlinear Fokker–Planck equation”, J. Math. Sci. (N. Y.), 197:3 (2014), 358–366
С. С. Харибегашвили, О. М. Джохадзе, “О глобальных и взрывных решениях смешанной задачи с нелинейным граничным условием для одномерного полулинейного волнового уравнения”, Матем. сб., 205:4 (2014), 121–148 ; S. S. Kharibegashvili, O. M. Jokhadze, “Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation”, Sb. Math., 205:4 (2014), 573–599
М. О. Корпусов, А. Г. Свешников, Е. В. Юшков, “Разрушение решений нелинейных уравнений типа Кадомцева–Петвиашвили и Захарова–Кузнецова”, Изв. РАН. Сер. матем., 78:3 (2014), 79–110 ; M. O. Korpusov, A. G. Sveshnikov, E. V. Yushkov, “Blow-up of solutions of non-linear equations of Kadomtsev–Petviashvili and Zakharov–Kuznetsov types”, Izv. Math., 78:3 (2014), 500–530
А. А. Коньков, “О теоремах сравнения для квазилинейных эллиптических неравенств, учитывающих геометрию области”, Изв. РАН. Сер. матем., 78:4 (2014), 123–174 ; A. A. Kon'kov, “On comparison theorems for quasi-linear elliptic inequalities with a special account of the geometry of the domain”, Izv. Math., 78:4 (2014), 758–808
D'Ambrosio L. Mitidieri E., “Hardy-Littlewood-Sobolev Systems and Related Liouville Theorems”, Discret. Contin. Dyn. Syst.-Ser. S, 7:4 (2014), 653–671
Sun Yu., “Uniqueness Result for Non-Negative Solutions of Semi-Linear Inequalities on Riemannian Manifolds”, J. Math. Anal. Appl., 419:1 (2014), 643–661
Grigor'yan A. Sun Yu., “On Nonnegative Solutions of the Inequality Delta U Plus U(SIGMA) <= 0 on Riemannian Manifolds”, Commun. Pure Appl. Math., 67:8 (2014), 1336–1352
Galaktionov V.A., Mitidieri E., Pohozaev S.I., “Classification of Global and Blow-Up Sign-Changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-Order Diffusion”, Adv. Nonlinear Stud., 14:1 (2014), 1–29
М. О. Корпусов, А. А. Панин, “О разрушении решения абстрактной задачи Коши для формально гиперболического уравнения с двойной нелинейностью”, Изв. РАН. Сер. матем., 78:5 (2014), 91–142 ; M. O. Korpusov, A. A. Panin, “Blow-up of solutions of an abstract Cauchy problem for a formally hyperbolic equation with double non-linearity”, Izv. Math., 78:5 (2014), 937–985
Aliev A.B., Kazimov A.A., “the Existence and Nonexistence of Global Solutions of the Cauchy Problem For Klein-Gordon Systems”, Dokl. Math., 90:3 (2014), 680–682
Min L.-H., “Liouville Type Theorem For Higher Order Hardy-Henon System of Inequalities”, Math. Inequal. Appl., 17:4 (2014), 1427–1439
Cowan C., “a Liouville Theorem For a Fourth Order Henon Equation”, Adv. Nonlinear Stud., 14:3 (2014), 767–776
Montaru A., Sirakov B., Souplet Ph., “Proportionality of Components, Liouville Theorems and a Priori Estimates For Noncooperative Elliptic Systems”, Arch. Ration. Mech. Anal., 213:1 (2014), 129–169
Fazly M., Ghoussoub N., “on the Henon-Lane-Emden Conjecture”, Discret. Contin. Dyn. Syst., 34:6, SI (2014), 2513–2533
Liu Ch., “the Critical Fujita Exponent For a Diffusion Equation With a Potential Term”, Lith. Math. J., 54:2 (2014), 182–191
Montaru A., Souplet Ph., “Symmetry of Components and Liouville Theorems For Noncooperative Elliptic Systems on the Half-Space”, C. R. Math., 352:4 (2014), 321–325
Korpusov M.O., Yushkov E.V., “Local Solvability and Blow-Up For Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony Equations”, Electron. J. Differ. Equ., 2014, 69
Galakhov E., Salieva O., Uvarova L., “Blow-Up of Solutions To Systems of Nonlinear Inequalities With Singularities on Unbounded Sets”, Electron. J. Differ. Equ., 2014, 216
Khomrutai S., Kitisin N., “Blow-Up in Non-Autonomous Semilinear Pseudoparabolic Equations”, Scienceasia, 40:5 (2014), 371–374
Kirane M., Ahmad B., Alsaedi A., Al-Yami M., “Non-Existence of Global Solutions To a System of Fractional Diffusion Equations”, Acta Appl. Math., 133:1 (2014), 235–248
Lupo D., Payne K.R., Popivanov N.I., “on the Degenerate Hyperbolic Goursat Problem For Linear and Nonlinear Equations of Tricomi Type”, Nonlinear Anal.-Theory Methods Appl., 108 (2014), 29–56
Nishihara K., Wakasugi Yu., “Critical Exponent For the Cauchy Problem To the Weakly Coupled Damped Wave System”, Nonlinear Anal.-Theory Methods Appl., 108 (2014), 249–259
D'Ambrosio L., Dipierro S., “Hardy Inequalities on Riemannian Manifolds and Applications”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 31:3 (2014), 449–475
D'Ambrosio L., Mitidieri E., “Liouville Theorems For Elliptic Systems and Applications”, J. Math. Anal. Appl., 413:1 (2014), 121–138
Radkevich E.V., “Inviscid Solutions of the Multicomponent Euler System”, Dokl. Math., 89:2 (2014), 197–201
Yang JinGe, Cao Yang, Zheng SiNing, “Fujita Phenomena in Nonlinear Pseudo-Parabolic System”, Sci. China-Math., 57:3 (2014), 555–568
Fang Zh.B., Xu L., “Liouville Theorems For a Singular Parabolic Differential Inequality With a Gradient Term”, J. Inequal. Appl., 2014, 62
O. Jokhadze, “The Cauchy problem for one-dimensional wave equations with a nonlinear dissipative term”, Eurasian Math. J., 5:4 (2014), 92–112
Б. Тсегау, “Об отсутствии глобальных решений для квазилинейных обратных параболических неравенств с оператором типа $p$-Лапласа”, Матем. заметки, 97:4 (2015), 591–603 ; B. Tsegau, “Nonexistence of Global Solutions for Quasilinear Backward Parabolic Inequalities with $p$-Laplace-Type Operator”, Math. Notes, 97:4 (2015), 605–615
Ghergu M., Taliaferro S.D., “Nonexistence of Positive Supersolutions of Nonlinear Biharmonic Equations Without the Maximum Principle”, Commun. Partial Differ. Equ., 40:6 (2015), 1029–1069
Quoc Hung Phan, “Liouville-Type Theorems For Polyharmonic Henon-Lane-Emden System”, Adv. Nonlinear Stud., 15:2 (2015), 415–432
Jleli M., Samet B., “the Decay of Mass For a Nonlinear Fractional Reaction-Diffusion Equation”, Math. Meth. Appl. Sci., 38:7 (2015), 1369–1378
Jokhadze O., Kharibegashvili S., “on the Cauchy and Cauchy-Darboux Problems For Semilinear Wave Equations”, Georgian Math. J., 22:1 (2015), 81–104
А. А. Панин, “О локальной разрешимости и разрушении решения абстрактного нелинейного интегрального уравнения Вольтерра”, Матем. заметки, 97:6 (2015), 884–903 ; A. A. Panin, “On Local Solvability and Blow-Up of Solutions of an Abstract Nonlinear Volterra Integral Equation”, Math. Notes, 97:6 (2015), 892–908
S. G. Pyatkov, S. N. Shergin, “On some mathematical models of filtration theory”, Вестн. ЮУрГУ. Сер. Матем. моделирование и программирование, 8:2 (2015), 105–116
Е. И. Галахов, О. А. Салиева, “Разрушение решений некоторых нелинейных неравенств с особенностями на неограниченных множествах”, Матем. заметки, 98:2 (2015), 187–195 ; E. I. Galakhov, O. A. Salieva, “Blow-Up of Solutions of Some Nonlinear Inequalities with Singularities on Unbounded Sets”, Math. Notes, 98:2 (2015), 222–229
Е. В. Юшков, М. О. Корпусов, “Глобальная неразрешимость одномерных задач для уравнений типа Бюргерса”, Матем. заметки, 98:3 (2015), 448–462 ; E. V. Yushkov, M. O. Korpusov, “Global Unsolvability of One-Dimensional Problems for Burgers-Type Equations”, Math. Notes, 98:3 (2015), 503–514
М. О. Корпусов, “Критические показатели мгновенного разрушения или локальной разрешимости нелинейных уравнений соболевского типа”, Изв. РАН. Сер. матем., 79:5 (2015), 103–162 ; M. O. Korpusov, “Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type”, Izv. Math., 79:5 (2015), 955–1012
Л. С. Ефремова, В. Ж. Сакбаев, “Понятие взрыва множества решений дифференциальных уравнений и усреднение случайных полугрупп”, ТМФ, 185:2 (2015), 252–271 ; L. S. Efremova, V. Zh. Sakbaev, “Notion of blowup of the solution set of differential equations and averaging of random semigroups”, Theoret. and Math. Phys., 185:2 (2015), 1582–1598
Nabti A., “Nonexistence of Non-Trivial Global Weak Solutions For Higher-Order Nonlinear Schrodinger Equations”, Electron. J. Differ. Equ., 2015, 312
Mahmoudi N., “Universal Bounds and Blow-Up Estimates For a Reaction-Diffusion System”, Bound. Value Probl., 2015, 228
Berbiche M., “Existence and Blow-Up of Solutions For Damped Wave System With Nonlinear Memory”, Appl. Anal., 94:12 (2015), 2535–2564
Tsegaw B.B., “on the Nonexistence of Solutions of Some Anisotropic Elliptic and Backward Parabolic Inequalities”, Differ. Equ., 51:12 (2015), 1607–1619
Boutefnouchet M., Kirane M., “Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group”, Fract. Calc. Appl. Anal., 18:6 (2015), 1336–1349
Quoc Hung Phan, Anh Tuan Duong, “Liouville-Type Theorems For a Quasilinear Elliptic Equation of the H,Non-Type”, NoDea-Nonlinear Differ. Equ. Appl., 22:6 (2015), 1817–1829
Farina A., “Symmetry of Components, Liouville-Type Theorems and Classification Results For Some Nonlinear Elliptic Systems”, Discret. Contin. Dyn. Syst., 35:12, SI (2015), 5869–5877
Hu L.-G., “Liouville Type Results For Semi-Stable Solutions of the Weighted Lane-Emden System”, J. Math. Anal. Appl., 432:1 (2015), 429–440
Aliev A.B., Pashayev A.F., “Cauchy Problem For a Class of Fourth-Order Semilinear Pseudohyperbolic Equations With Structural Damping”, Dokl. Math., 92:3 (2015), 651–654
Cassani D., Tarsi C., “Existence of Solitary Waves For Supercritical Schrodinger Systems in Dimension Two”, Calc. Var. Partial Differ. Equ., 54:2 (2015), 1673–1704
Albanese G., Mari L., Rigoli M., “on the Role of Gradient Terms in Coercive Quasilinear Differential Inequalities on Carnot Groups”, Nonlinear Anal.-Theory Methods Appl., 126 (2015), 234–261
Ahmad B., Alsaedi A., Kirane M., “Nonexistence of Global Solutions of Some Nonlinear Space-Nonlocal Evolution Equations on the Heisenberg Group”, Electron. J. Differ. Equ., 2015, 227
Sun Yu., “on the Uniqueness of Nonnegative Solutions of Differential Inequalities With Gradient Terms on Riemannian Manifolds”, Commun. Pure Appl. Anal, 14:5 (2015), 1743–1757
Zhang Q.-G., Sun H.-R., “the Blow-Up and Global Existence of Solutions of Cauchy Problems For a Time Fractional Diffusion Equation”, Topol. Methods Nonlinear Anal., 46:1 (2015), 69–92
Kon'kov A.A., “on Properties of Solutions of Quasilinear Second-Order Elliptic Inequalities”, Nonlinear Anal.-Theory Methods Appl., 123-124 (2015), 89–114
Huang J.-Ch., “Liouville Type Theorem For Quasi-Linear Elliptic Inequality Delta(P)U + U(SIGMA) <= 0 on Riemannian Manifolds”, J. Math. Anal. Appl., 428:1 (2015), 12–31
Yang J., “Fujita-Type Phenomenon of Nonlinear Coupled Nonlocal Diffusion System”, J. Math. Anal. Appl., 428:1 (2015), 227–237
Sun Yu., “on Nonexistence of Positive Solutions of Quasi-Linear Inequality on Riemannian Manifolds”, Proc. Amer. Math. Soc., 143:7 (2015), PII S0002-9939(2015)12705-0, 2969–2984
Farina A., “Some Symmetry Results and Liouville-Type Theorems For Solutions To Semilinear Equations”, Nonlinear Anal.-Theory Methods Appl., 121 (2015), 223–229
Bordoni S. Filippucci R. Pucci P., “Nonlinear Elliptic Inequalities With Gradient Terms on the Heisenberg Group”, Nonlinear Anal.-Theory Methods Appl., 121 (2015), 262–279
Khomrutai S., “Global and Blow-Up Solutions of Superlinear Pseudoparabolic Equations With Unbounded Coefficient”, Nonlinear Anal.-Theory Methods Appl., 122 (2015), 192–214
Azman I. Jleli M. Samet B., “Blow-Up of Solutions To Parabolic Inequalities in the Heisenberg Group”, Electron. J. Differ. Equ., 2015, 167
Alves C.O., Santos C.A., Zhou J., “Existence and Non-Existence of Blow-Up Solutions For a Non-Autonomous Problem With Indefinite and Gradient Terms”, Z. Angew. Math. Phys., 66:3 (2015), 891–918
Galakhov E., Salieva O., Uvarova L., “Nonexistence Results For Some Nonlinear Elliptic and Parabolic Inequalities With Functional Parameters”, Electron. J. Qual. Theory Differ., 2015, no. 85, UNSP 85, 1–11
Li X., “Nonexistence of Solutions For Singular Nonlinear Ordinary Inequalities”, Electron. J. Qual. Theory Differ., 2015, no. 67
Deviaterikova E., Galakhov E., Salieva O., Uvarova L., “Blow-Up Time For a Problem of Heat Transfer With Coefficients Depending on Their Formation Mechanisms”, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2014 (Icnaam-2014), AIP Conference Proceedings, 1648, eds. Simos T., Tsitouras C., Amer Inst Physics, 2015, UNSP 750003
Galakhov E., Salieva O., “on Blow-Up For a Generalized Heat Inequality”, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2014 (Icnaam-2014), AIP Conference Proceedings, 1648, eds. Simos T., Tsitouras C., Amer Inst Physics, 2015, UNSP 750004
Aliev A.B., Kazimov A.A., “Nonexistence of global solutions of the Cauchy problem for systems of Klein–Gordon equations with positive initial energy”, Differ. Equ., 51:12 (2015), 1563–1568
Kharibegashvili S.S., Dzhokhadze O.M., “Time-periodic problem for a weakly nonlinear telegraph equation with directional derivative in the boundary condition”, Differ. Equ., 51:10 (2015), 1369–1386
Ching J., Cirstea F., “Existence and classification of singular solutions to nonlinear elliptic equations with a gradient term”, Anal. PDE, 8:8 (2015), 1931–1962
А. А. Коньков, “Об оценках решений эллиптических неравенств в окрестности особой точки”, Матем. заметки, 99:4 (2016), 623–625 ; A. A. Kon'kov, “On Estimates of Solutions to Elliptic Inequalities near a Singular Point”, Math. Notes, 99:4 (2016), 608–610
Abdelmalek S., Bajneed M., Sioud Kh., “Nonexistence of Solutions To Cauchy Problems For Fractional Time Semi-Linear Pseudo-Hyperbolic Systems”, Electron. J. Differ. Equ., 2016, 20
Sun Yu., “Uniqueness Result on Nonnegative Solutions of a Large Class of Differential Inequalities on Riemannian Manifolds”, Pac. J. Math., 280:1 (2016), 241–254
Villavert J., “Asymptotic and Optimal Liouville Properties For Wolff Type Integral Systems”, Nonlinear Anal.-Theory Methods Appl., 130 (2016), 102–120
М. О. Корпусов, “О разрушении за конечное время решения начально-краевой задачи для нелинейного уравнения ионно-звуковых волн”, ТМФ, 187:3 (2016), 447–454 ; M. O. Korpusov, “The finite-time blowup of the solution of an initial boundary-value problem for the nonlinear equation of ion sound waves”, Theoret. and Math. Phys., 187:3 (2016), 835–841
Е. И. Галахов, О. А. Салиева, “Об отсутствии неотрицательных монотонных решений для некоторых квазилинейных эллиптических неравенств в полупространстве”, Функциональные пространства, теория приближений, смежные разделы математического анализа, Сборник статей. К 110-летию со дня рождения академика Сергея Михайловича Никольского, Труды МИАН, 293, МАИК «Наука/Интерпериодика», М., 2016, 146–156 ; E. I. Galakhov, O. A. Salieva, “On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a half-space”, Proc. Steklov Inst. Math., 293 (2016), 140–150
Т. А. Корчемкина, “О непродолжаемых решениях уравнений типа Эмдена–Фаулера второго порядка с отрицательным потенциалом”, Вестн. Удмуртск. ун-та. Матем. Мех. Компьют. науки, 26:2 (2016), 231–238
Э. И. Абдурагимов, “Положительное радиально-симметричное решение задачи Дирихле для одной нелинейной эллиптической системы с $p$-лапласианом”, Матем. заметки, 100:5 (2016), 643–655 ; E. I. Abduragimov, “Positive Radially Symmetric Solution of the Dirichlet Problem for a Nonlinear Elliptic System with $p$-Laplacian”, Math. Notes, 100:5 (2016), 649–659
М. А. Терентьев, “Об отсутствии и разрушении решений в некоторых сингулярно возмущённых задачах со сменой устойчивости”, Модел. и анализ информ. систем, 23:5 (2016), 587–594
С. С. Харибегашвили, О. М. Джохадзе, “О разрешимости периодической задачи для одного нелинейного телеграфного уравнения”, Сиб. матем. журн., 57:4 (2016), 940–950 ; S. S. Kharibegashvili, O. M. Dzhokhadze, “On solvability of a periodic problem for a nonlinear telegraph equation”, Siberian Math. J., 57:4 (2016), 735–743
Jleli M., Kirane M., Samet B., “Nonexistence results for some nonlinear nonlocal elliptic inequalities with variable exponents”, Math. Meth. Appl. Sci., 39:18 (2016), 5529–5538
Cheng T., Liu Sh., “A Liouville type theorem for higher order Hardy–Hénon equation in R n”, J. Math. Anal. Appl., 444:1 (2016), 370–389
Chen Yu., Zhu Yu., “Blow-up results for evolution problems with inhomogeneous nonlocal diffusion”, J. Math. Anal. Appl., 444:1 (2016), 452–463
Jleli M. Kirane M. Samet B., “a Fujita-Type Theorem For a Multitime Evolutionary P-Laplace Inequality in the Heisenberg Group”, Electron. J. Differ. Equ., 2016, 303
Korpusov M.O., Lukyanenko D.V., Panin A.A., Yushkov E.V., “Blow-up for one Sobolev problem: Theoretical approach and numerical analysis”, J. Math. Anal. Appl., 442:2 (2016), 451–468
Jleli M., Kirane M., Samet B., “Blow-up Results for Fractional Evolution Problems with Nonlocal Diffusion”, Mediterr. J. Math., 13:5 (2016), 3513–3523
Boutefnouchet M., Erjaee H., Kirane M., Qafsaoui M., “Nonexistence results for the Cauchy problem for some fractional nonlinear systems of thermo-elasticity type”, ZAMM-Z. Angew. Math. Mech., 96:9 (2016), 1119–1128
Lai B., Ye D., “Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems”, Proc. Edinb. Math. Soc., 59:3 (2016), 777–786
Al-Musalhi F., Kerbal S., “Cauchy Problem For Some Fractional Nonlinear Ultra-Parabolic Equations”, Electron. J. Differ. Equ., 2016, 172
Jleli M., Kirane M., Samet B., “Liouville-Type Theorems For Elliptic Inequalities With Power Nonlinearities Involving Variable Exponents For a Fractional Grushin Operator”, Electron. J. Differ. Equ., 2016, 146
Kharibegashvili S.S., Jokhadze O.M., “On the solvability of a boundary value problem for nonlinear wave equations in angular domains”, Differ. Equ., 52:5 (2016), 644–666
Li J., Yin J., Jin Ch., “Strong solutions of a class of fully nonlinear degenerate parabolic equations”, Math. Meth. Appl. Sci., 39:8 (2016), 2025–2037
Lei Yu., “Radial Symmetry and Asymptotic Estimates for Positive Solutions to a Singular Integral Equation”, Taiwan. J. Math., 20:2 (2016), 473–489
Jleli M., Kirane M., Samet B., “Blow-Up Phenomena For Second-Order Differential Inequalities With Shifted Arguments”, Electron. J. Differ. Equ., 2016, 91
Farina A., Ferrero A., “Existence and stability properties of entire solutions to the polyharmonic equation (??)mu=eu for any m?1”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 33:2 (2016), 495–528
Liu B. Yang J., “Blow-up properties in the parabolic problems with anisotropic nonstandard growth conditions”, Z. Angew. Math. Phys., 67:1 (2016), UNSP 13
Salieva O., “Blow-Up of Solutions To Some Differential Equations and Inequalities With Shifted Arguments”, Electron. J. Differ. Equ., 2016, 57
Cung The Anh, Bui Kim My, “Liouville-type theorems for elliptic inequalities involving the ? _{?} -Laplace operator”, Complex Var. Elliptic Equ., 61:7 (2016), 1002–1013
Kellil R., Kirane M., “Nonexistence of Global Weak Solutions of a System of Wave Equations on the Heisenberg Group”, J. Nonlinear Sci. Appl., 9:5 (2016), 3279–3286
Wang Y., Xiao J., “A uniqueness principle for up ? (??)? 2u in the Euclidean space”, Commun. Contemp. Math., 18:6 (2016), 1650019
Kharibegashvili S., Jokhadze O., “The Cauchy-Darboux Problem For Wave Equations With a Nonlinear Dissipative Term”, Mem. Differ. Equ. Math. Phys., 69 (2016), 53–75
Ш. Г. Багыров, К. А. Гулиева, “Отсутствие положительных решений полулинейного эллиптического уравнения второго порядка с младшими производными и с сингулярным потенциалом”, Матем. заметки, 101:2 (2017), 313–317 ; Sh. G. Bagyrov, K. A. Gulieva, “Blow-Up of Positive Solutions of a Second-Order Semilinear Elliptic Equation with Lower Derivatives and with Singular Potential”, Math. Notes, 101:2 (2017), 374–378
О. А. Салиева, “Отсутствие решений некоторых нелинейных неравенств, содержащих нецелые степени оператора Лапласа”, Матем. заметки, 101:4 (2017), 588–593 ; O. A. Salieva, “On the Nonexistence of Solutions of Some Nonlinear Inequalities with Nonintegral Powers of the Laplace Operator”, Math. Notes, 101:4 (2017), 699–703
М. О. Корпусов, Е. В. Юшков, “Глобальная неразрешимость нелинейной модели проводника в квазистационарном приближении”, ТМФ, 191:1 (2017), 3–13 ; M. O. Korpusov, E. V. Yushkov, “Global unsolvability of a nonlinear conductor model in the quasistationary approximation”, Theoret. and Math. Phys., 191:1 (2017), 471–479
А. А. Коньков, “Об отсутствии решений у одного класса недивергентных эллиптических неравенств”, Ж. вычисл. матем. и матем. физ., 57:3 (2017), 448–458 ; A. A. Kon'kov, “Blow-up of solutions for a class of nondivergence elliptic inequalities”, Comput. Math. Math. Phys., 57:3 (2017), 453–463
Е. И. Галахов, О. А. Салиева, “Об отсутствии решений некоторых нелинейных неравенств в неограниченных областях”, Ж. вычисл. матем. и матем. физ., 57:3 (2017), 459–469 ; E. I. Galakhov, O. A. Salieva, “Blow-up of solutions of some nonlinear inequalities in unbounded domains”, Comput. Math. Math. Phys., 57:3 (2017), 464–475
Sun Yu., “Absence of nonnegative solutions to the system of differential inequalities on manifolds”, J. Math. Anal. Appl., 450:2 (2017), 901–914
Mastrolia P. Monticelli D.D. Punzo F., “Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds”, Math. Ann., 367:3-4 (2017), 929–963
Alsaedi A., Ahmad B., Kirane M., Al-Yami M., “Nonexistence results for higher order pseudo-parabolic equations in the Heisenberg group”, Math. Meth. Appl. Sci., 40:4 (2017), 1280–1287
Ahmad A.M., Furati Kh.M., Tatar N.-E., “On the nonexistence of global solutions for a class of fractional integro-differential problems”, Adv. Differ. Equ., 2017, 59
Li X., “Non-existence of solutions for nonlinear differential inequalities with singularities on the boundary”, Complex Var. Elliptic Equ., 62:6 (2017), 748–759
Hara T., “Liouville theorems for supersolutions of semilinear elliptic equations with drift terms in exterior domains”, J. Math. Anal. Appl., 449:1 (2017), 601–618
Zhang Q., Sun H.-R., Li Ya., “The nonexistence of global solutions for a time fractional nonlinear Schr?dinger equation without gauge invariance”, Appl. Math. Lett., 64 (2017), 119–124
Hayashi N., Naumkin P.I., “Damped wave equation with a critical nonlinearity in higher space dimensions”, J. Math. Anal. Appl., 446:1 (2017), 801–822
Uvarova L., Salieva O., Galakhov E., “Nonexistence of Solutions To Some Inequalities and Systems With Singular Coefficients on the Boundary”, Electron. J. Differ. Equ., 2017, 30
Salieva O., “On nonexistence of solutions to some nonlinear inequalities with transformed argument”, Electron. J. Qual. Theory Differ., 2017, no. 3, 1–13
Hajlaoui H., Harrabi A., Mtiri F., “Liouville theorems for stable solutions of the weighted Lane-Emden system”, Discret. Contin. Dyn. Syst., 37:1 (2017), 265–279
Salieva O., “On nonexistence of solutions to some nonlinear parabolic inequalities”, Commun. Pure Appl. Anal, 16:3 (2017), 843–853
М. А. Терентьев, “Замечание об области притяжения стационарного решения одного сингулярно возмущённого параболического уравнения”, Модел. и анализ информ. систем, 24:3 (2017), 353–358
М. О. Корпусов, А. А. Панин, “О непродолжаемом решении и разрушении решения одномерного уравнения ионно-звуковых волн в плазме”, Матем. заметки, 102:3 (2017), 383–395 ; M. O. Korpusov, A. A. Panin, “On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma”, Math. Notes, 102:3 (2017), 350–360
А. А. Панин, Г. И. Шляпугин, “О локальной разрешимости и разрушении решений одномерных уравнений типа Ядзимы–Ойкавы–Сацумы”, ТМФ, 193:2 (2017), 179–192 ; A. A. Panin, G. I. Shlyapugin, “Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type”, Theoret. and Math. Phys., 193:2 (2017), 1561–1573
Е. В. Юшков, М. О. Корпусов, “Градиентная катастрофа в обобщенных уравнениях Бюргерса и Буссинеска”, Изв. РАН. Сер. матем., 81:6 (2017), 232–242 ; E. V. Yushkov, M. O. Korpusov, “Gradient blow-up in generalized Burgers and Boussinesq equations”, Izv. Math., 81:6 (2017), 1286–1296
М. О. Корпусов, С. Г. Михайленко, “Мгновенное разрушение классических решений задачи Коши для уравнения Хохлова–Заболоцкой”, Ж. вычисл. матем. и матем. физ., 57:7 (2017), 1170–1175 ; M. O. Korpusov, S. G. Mikhailenko, “Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation”, Comput. Math. Math. Phys., 57:7 (2017), 1167–1172
Bagirov Sh.G., “The Absence of Global Solutions of a System of Semilinear Parabolic Equations With a Singular Potential”, Proc. Inst. Math. Mech., 43:2 (2017), 296–304
Tayeb H.K., Hakem A., “Local Existence and Sufficient Conditions of the Non-Global Solution For Weighted Damped Wave Equations”, Facta Univ-Ser. Math. Informat., 32:5 (2017), 629–657
O. A. Salieva, “On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain”, Eurasian Math. J., 8:4 (2017), 74–83
Aliev A.B., Yusifova G.I., “Nonexistence of Global Solutions of Cauchy Problems For Systems of Semilinear Hyperbolic Equations With Positive Initial Energy”, Electron. J. Differ. Equ., 2017, 211
Quoc Hung Phan, “Blow-Up Rate Estimates and Liouville Type Theorems For a Semilinear Heat Equation With Weighted Source”, J. Dyn. Differ. Equ., 29:3 (2017), 1131–1144
Monticelli D.D., Punzo F., Sciunzi B., “Nonexistence of Stable Solutions to Quasilinear Elliptic Equations on Riemannian Manifolds”, J. Geom. Anal., 27:4 (2017), 3030–3050
Jiang Y.-r., Huang N.-j., O'Regan D., “A Variational Inequality Theory With Applications to -Laplacian Elliptic Inequalities”, Acta Appl. Math., 152:1 (2017), 195–210
Azman I., Jleli M., Kirane M., Samet B., “Nonexistence of Global Solutions For Fractional Temporal Schrodinger Equations and Systems”, Electron. J. Differ. Equ., 2017, 276
Jleli M. Samet B., “Liouville-Type Theorems For a System Governed By Degenerate Elliptic Operators of Fractional Orders”, Arabian J. Math., 6:3 (2017), 201–211
Sun Yu., “The Absence of Global Positive Solutions to Semilinear Parabolic Differential Inequalities in Exterior Domain”, Proc. Amer. Math. Soc., 145:8 (2017), 3455–3464
Alsaedi A., Ahmad B., Kirane M., “A Survey of Useful Inequalities in Fractional Calculus”, Fract. Calc. Appl. Anal., 20:3 (2017), 574–594
D'Ambrosio L., Mitidieri E., “Quasilinear Elliptic Equations With Critical Potentials”, Adv. Nonlinear Anal., 6:2 (2017), 147–164
Jleli M., Samet B., “Liouville-Type Theorems For An Elliptic System Involving Fractional Laplacian Operators With Mixed Order”, Electron. J. Differ. Equ., 2017, 105
Juarez-Campos B., Kaikina E., Ruiz-Paredes H.F., “Nonlinear Model of Quasi-Stationary Process in Crystalline Semiconductor”, Diff. Equat. Appl., 9:1 (2017), 37–55
Liu Ch., Wang H., “Global Existence and Nonexistence of Solutions For Newtonian Filtration Equation”, Appl. Anal., 96:8 (2017), 1379–1389
Cai M., Mei L., “Narrow Region Principle and Liouville Type Results For Fractional Lane-Emden System”, Complex Var. Elliptic Equ., 62:7 (2017), 1002–1014
Chen C., Wang H., “Liouville Theorems For the Weighted Lane-Emden Equation With Finite Morse Indices”, Math. Meth. Appl. Sci., 40:13 (2017), 4674–4682
Ahmad B., Alsaedi A., Kirane M., “Nonexistence Results For the Cauchy Problem of Time Fractional Nonlinear Systems of Thermo-Elasticity”, Math. Meth. Appl. Sci., 40:12 (2017), 4272–4279
Lei Yu., “Qualitative Properties of Positive Solutions of Quasilinear Equations With Hardy Terms”, Forum Math., 29:5 (2017), 1177–1198
Alfaro M., “Fujita Blow Up Phenomena and Hair Trigger Effect: the Role of Dispersal Tails”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 34:5 (2017), 1309–1327
Kharibegashvili S., Midodashvili B., “One Nonlocal Problem in Time For a Semilinear Multidimensional Wave Equation”, Lith. Math. J., 57:3 (2017), 331–350
Ahmad B., Alsaedi A., Cuesta E., Kirane M., “On Blowing-Up Solutions For Multi-Time Nonlinear Hyperbolic Equations and Systems”, Filomat, 31:9 (2017), 2599–2609
Samet B., “Nonexistence of Global Solutions For a Class of Sequential Fractional Differential Inequalities”, Eur. Phys. J.-Spec. Top., 226:16-18, SI (2017), 3513–3524
Е. И. Галахов, О. А. Салиева, “Об отсутствии неотрицательных монотонных решений для некоторых коэрцитивных неравенств в полупространстве”, Дифференциальные и функционально-дифференциальные уравнения, СМФН, 63, № 4, Российский университет дружбы народов, М., 2017, 573–585
Ш. Г. Багыров, “Отсутствие решений полулинейного бигармонического уравнения с сингулярным потенциалом”, Матем. заметки, 103:1 (2018), 27–37 ; Sh. G. Bagyrov, “Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential”, Math. Notes, 103:1 (2018), 24–32
М. О. Корпусов, Д. В. Лукьяненко, А. А. Панин, Е. В. Юшков, “О разрушении решений одного полного нелинейного уравнения ионно-звуковых волн в плазме с некоэрцитивными нелинейностями”, Изв. РАН. Сер. матем., 82:2 (2018), 43–78 ; M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, E. V. Yushkov, “Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities”, Izv. Math., 82:2 (2018), 283–317
Korpusov M.O., Lukyanenko D.V., “Instantaneous Blow-Up Versus Local Solvability For One Problem of Propagation of Nonlinear Waves in Semiconductors”, J. Math. Anal. Appl., 459:1 (2018), 159–181
Marcos Do O J., Clemente R., “On Lane-Emden Systems With Singular Nonlinearities and Applications to Mems”, Adv. Nonlinear Stud., 18:1 (2018), 41–53
Monticelli D.D., Punzo F., “Nonexistence Results For Elliptic Differential Inequalities With a Potential in Bounded Domains”, Discret. Contin. Dyn. Syst., 38:2 (2018), 675–695
Bagirov Sh., “Nonexistence of Global Solutions to the System of Semilinear Parabolic Equations With Biharmonic Operator and Singular Potential”, Electron. J. Differ. Equ., 2018, 09
Schiera D., “Existence of Solutions to Higher Order Lane-Emden Type Systems”, Nonlinear Anal.-Theory Methods Appl., 168 (2018), 130–153
Sun Yu., “Nonexistence Results For Systems of Elliptic and Parabolic Differential Inequalities in Exterior Domains of R-N”, Pac. J. Math., 293:1 (2018), 245–256
Sun Yu., “Absence of Positive Solutions to the System of Differential Inequalities on Manifolds”, J. Math. Phys., 59:1 (2018), 011510
Dhara R.N., “On Solvability of Nonlinear Eigenvalue Problems For Degenerate PDEs of Elliptic Type”, Complex Var. Elliptic Equ., 63:4 (2018), 501–516
Fino A.Z., Dannawi I., Kirane M., “Blow-Up of Solutions For Semilinear Fractional Schrodinger Equations”, J. Integral Equ. Appl., 30:1 (2018), 67–80
Jleli M., Kirane M., Samet B., “Nonexistence of Global Solutions For a Class of Nonlocal in Time and Space Nonlinear Evolution Equations”, Comput. Math. Appl., 75:8 (2018), 2698–2709
Galakhov I E., Salieva O.A., “Unsolvability Conditions For Some Inequalities and Systems With Functional Parameters and Singular Coefficients on Boundary”, Ufa Math. J., 10:1 (2018), 14–24
Liu B. Xin Q. Dong M., “Blow-Up Analyses in Parabolic Equations With Anisotropic Nonstandard Damping Source”, J. Math. Anal. Appl., 458:1 (2018), 242–264
Dannawi I., Kirane M., Fino A.Z., “Finite Time Blow-Up For Damped Wave Equations With Space-Time Dependent Potential and Nonlinear Memory”, NoDea-Nonlinear Differ. Equ. Appl., 25:5 (2018), 38
Matus P.P., Lemeshevsky S.V., “Coefficient Stability of the Solution of a Difference Scheme Approximating a Mixed Problem For a Semilinear Parabolic Equation”, Differ. Equ., 54:7 (2018), 929–937
Nhan Cong Le, Truong Xuan Le, “Existence and Nonexistence of Global Solutions For Doubly Nonlinear Diffusion Equations With Logarithmic Nonlinearity”, Electron. J. Qual. Theory Differ., 2018, no. 67
Xu F. Wang L. Sun Yu., “Liouville Type Theorems For Systems of Elliptic Differential Inequalities on Riemannian Manifolds”, J. Math. Anal. Appl., 466:1 (2018), 426–446
Jleli M., Kirane M., Samet B., “On the Absence of Global Weak Solutions For Some Differential Inequalities of Sobolev Type in An Exterior Domain”, Math. Meth. Appl. Sci., 41:13 (2018), 5293–5307
М. О. Корпусов, “О мгновенном разрушении решений эволюционных задач на полупрямой”, Изв. РАН. Сер. матем., 82:5 (2018), 61–77 ; M. O. Korpusov, “On an instantaneous blow-up of solutions of evolutionary problems on the half-line”, Izv. Math., 82:5 (2018), 914–930
Drabek P. Ho K. Sarkar A., “On the Eigenvalue Problem Involving the Weighted P-Laplacian in Radially Symmetric Domains”, J. Math. Anal. Appl., 468:2 (2018), 716–756
Schiera D., “Existence and Non-Existence Results For Variational Higher Order Elliptic Systems”, Discret. Contin. Dyn. Syst., 38:10 (2018), 5145–5161
Bagyrov Sh.G., “On Non-Existence of Positive Periodic Solution For Second Order Semilinear Parabolic Equation”, Azerbaijan J. Math., 8:2 (2018), 163–180
А. А. Коньков, А. Е. Шишков, “Об отсутствии глобальных решений у одного класса эволюционных неравенств высокого порядка”, Матем. заметки, 104:6 (2018), 945–947 ; A. A. Kon'kov, A. E. Shishkov, “On the Absence of Global Solutions of a Class of Higher-Order Evolution Inequalities”, Math. Notes, 104:6 (2018), 930–932
D'Ambrosio L. Mitidieri E., “Quasilinear Elliptic Systems in Divergence Form Associated to General Nonlinearities”, Adv. Nonlinear Anal., 7:4 (2018), 425–447
Galakhov I E. Salieva O.A. Uvarova L.A., “Nonexistence of Nonnegative Solutions For Parabolic Inequalities in the Half-Space”, Electron. J. Differ. Equ., 2018, 198
Li B., Wan H., “Blow-Up Rates and Uniqueness of Entire Large Solutions to a Semilinear Elliptic Equation With Nonlinear Convection Term”, Bound. Value Probl., 2018, 179
Korpusov M.O., Ovchinnikov A.V., Panin A.A., “Instantaneous Blow-Up Versus Local Solvability of Solutions to the Cauchy Problem For the Equation of a Semiconductor in a Magnetic Field”, Math. Meth. Appl. Sci., 41:17, SI (2018), 8070–8099
Abd Elhakim L., Kamel H., Belgacem R., “Nonexistence of Global Solutions to a Fractional Nonlinear Ultra-Parabolic System”, Ital. J. Pure Appl. Math., 2018, no. 40, 748–755
Kharibegashvili S., “Some Local and Nonlocal Multidimensional Problems For a Class of Semilinear Hyperbolic Equations and Systems”, Mem. Differ. Equ. Math. Phys., 75 (2018), 1–91
Li Ya., Zhang Q., “Blow-Up and Global Existence of Solutions For a Time Fractional Diffusion Equation”, Fract. Calc. Appl. Anal., 21:6 (2018), 1619–1640
Korpusov M. Ovchinnikov A. Sveshnikov A. Yushkov E., “Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods”, Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods, de Gruyter Series in Nonlinear Analysis and Applications, Walter de Gruyter Gmbh, 2018, 1–326
Cassani D., Ruf B., Tarsi C., “On the Capacity Approach to Non-Attainability of Hardy'S Inequality in R-N”, Discret. Contin. Dyn. Syst.-Ser. S, 12:2, SI (2019), 245–250
D'Ambrosio L. Mitidieri E., “Representation Formulae of Solutions of Second Order Elliptic Inequalities”, Nonlinear Anal.-Theory Methods Appl., 178 (2019), 310–336
Jleli M., Samet B., “New Blow-Up Results For Nonlinear Boundary Value Problems in Exterior Domains”, Nonlinear Anal.-Theory Methods Appl., 178 (2019), 348–365
Galakhov I E., Salieva O.A., “Uniqueness of the Trivial Solution of Some Inequalities With Fractional Laplacian”, Electron. J. Qual. Theory Differ., 2019, no. 1, 1–8
Grillo G., Muratori M., Punzo F., “Blow-Up and Global Existence For the Porous Medium Equation With Reaction on a Class of Cartan-Hadamard Manifolds”, J. Differ. Equ., 266:7 (2019), 4305–4336
Yang H., Zou W., “Symmetry of Components and Liouville-Type Theorems For Semilinear Elliptic Systems Involving the Fractional Laplacian”, Nonlinear Anal.-Theory Methods Appl., 180 (2019), 208–224
Jleli M., Kirane M., Samet B., “On the Absence of Global Solutions For Quantum Versions of Schrodinger Equations and Systems”, Comput. Math. Appl., 77:3 (2019), 740–751
Aydi H., Jleli M., Samet B., “On the Absence of Global Solutions For Some Q-Difference Inequalities”, Adv. Differ. Equ., 2019, 40
И. И. Колотов, А. А. Панин, “О непродолжаемых решениях и разрушении решений псевдопараболических уравнений с коэрцитивной и знакопостоянной нелинейностями: аналитическое и численное исследование”, Матем. заметки, 105:5 (2019), 708–723 ; I. I. Kolotov, A. A. Panin, “On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study”, Math. Notes, 105:5 (2019), 694–706
А. Б. Муравник, “О качественных свойствах знакопостоянных решений некоторых квазилинейных параболических задач”, Материалы международной конференции «International Conference on Mathematical Modelling in Applied Sciences, ICMMAS-17», Санкт-Петербургский политехнический университет, 24–28 июля 2017 г., Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 160, ВИНИТИ РАН, М., 2019, 85–94
Ikeda M., Sobajima M., “Sharp Upper Bound For Lifespan of Solutions to Some Critical Semilinear Parabolic, Dispersive and Hyperbolic Equations Via a Test Function Method”, Nonlinear Anal.-Theory Methods Appl., 182 (2019), 57–74
Zhang Q., Li Ya., “Global Well-Posedness and Blow-Up Solutions of the Cauchy Problem For a Time-Fractional Superdiffusion Equation”, J. Evol. Equ., 19:1 (2019), 271–303
Xu F., “On the Existence of Nonnegative Solutions to Semilinear Differential Inequality on Riemannian Manifolds”, Nonlinear Anal.-Theory Methods Appl., 183 (2019), 29–41
Dai W., Qin G., Zhang Ya., “Liouville Type Theorem For Higher Order Henon Equations on a Half Space”, Nonlinear Anal.-Theory Methods Appl., 183 (2019), 284–302
Muravnik A.B., “On Absence of Global Positive Solutions of Elliptic Inequalities With Kpz-Nonlinearities”, Complex Var. Elliptic Equ., 64:5 (2019), 736–740
Kharibegashvili S., Midodashvili B., “A Boundary Value Problem For Higher-Order Semilinear Partial Differential Equations”, Complex Var. Elliptic Equ., 64:5 (2019), 766–776
Ghergu M., Giacomoni J., Singh G., “Global and Blow-Up Radial Solutions For Quasilinear Elliptic Systems Arising in the Study of Viscous, Heat Conducting Fluids”, Nonlinearity, 32:4 (2019), 1546–1569
Khomrutai S., “Weighted l-P Estimates and Fujita Exponent For a Nonlocal Equation”, Nonlinear Anal.-Theory Methods Appl., 184 (2019), 321–351
Ghosh S., Panda A., Choudhuri D., “Multiplicity of Solutions to An Elliptic Problem With Singularity and Measure Data”, Electron. J. Differ. Equ., 2019
Bahrouni A., Radulescu V.D., Repovs D.D., “Double Phase Transonic Flow Problems With Variable Growth: Nonlinear Patterns and Stationary Waves”, Nonlinearity, 32:7 (2019), 2481–2495
Burgos-Perez M.A., Garcia-Melian J., Quaas A., “Some Nonexistence Theorems For Semilinear Fourth-Order Equations”, Proc. R. Soc. Edinb. Sect. A-Math., 149:3 (2019), 761–779
Bidaut-veron M.-F., Garcia-Huidobro M., Veron L., “Estimates of Solutions of Elliptic Equations With a Source Reaction Term Involving the Product of the Function and Its Gradient”, Duke Math. J., 168:8 (2019), 1487–1537
M. Kirane, B. T. Torebek, “On a nonlinear problem of the breaking water waves”, Вестн. ЮУрГУ. Сер. Матем. моделирование и программирование, 12:2 (2019), 37–46
Jleli M., Kirane M., Samet B., “Blow-Up Results For Higher-Order Evolution Differential Inequalities in Exterior Domains”, Adv. Nonlinear Stud., 19:2 (2019), 375–390
Alqahtani A., Jleli M., Samet B., “Nonexistence of Nontrivial Global Solutions For Nonlocal in Time Differential Inequalities”, Math. Meth. Appl. Sci., 42:3 (2019), 861–870
Kon'kov A.A., Shishkov A.E., “On Blow-Up Conditions For Solutions of Higher Order Differential Inequalities”, Appl. Anal., 98:9 (2019), 1581–1590
Aliev A.B., Shafiyeva G.Kh., “On Potential Wells and Global Solvability of the Cauchy Problem For System of Semi-Linear Klein-Gordon Equations With Dissipation”, Proc. Inst. Math. Mech., 45:1 (2019), 119–136
Jleli M., Samet B., “Nonexistence Results For Systems of Parabolic Differential Inequalities in 2D Exterior Domains”, Asymptotic Anal., 113:1-2 (2019), 29–49
М. О. Корпусов, А. А. Панин, “Мгновенное разрушение versus локальная разрешимость задачи Коши для двумерного уравнения полупроводника с тепловым разогревом”, Изв. РАН. Сер. матем., 83:6 (2019), 104–132 ; M. O. Korpusov, A. A. Panin, “Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating”, Izv. Math., 83:6 (2019), 1174–1200
Дж. Калантарова, “Разрушение решений полулинейных неавтономных волновых уравнений с граничными условиями Робина”, Матем. заметки, 106:3 (2019), 377–386 ; J. Kalantarova, “Blow-Up of Solutions to Semilinear Nonautonomous Wave Equations with Robin Boundary Conditions”, Math. Notes, 106:3 (2019), 364–371
М. О. Корпусов, “О разрушении решений нелинейного уравнения Томаса”, ТМФ, 201:1 (2019), 54–64 ; M. O. Korpusov, “Blowup solutions of the nonlinear Thomas equation”, Theoret. and Math. Phys., 201:1 (2019), 1457–1467
Jleli M., Kirane M., Samet B., “Absence of Global Solutions For a Fractional in Time and Space Shallow-Water System”, Mathematics, 7:11 (2019), 1127
Vu Ho, Nhat Vy Huynh, Phuong Le, “Solutions of Homogeneous Fractional P-Kirchhoff Equations in R-N”, Miskolc Math. Notes, 20:2 (2019), 957–968
Rhouma N.B., Seddik M., “Liouville Type Results For a Class of Quasilinear Parabolic Problems”, J. Math. Phys., 60:10 (2019), 101501
Kon'kov A.A., Shishkov A.E., “Generalization of the Keller-Osserman Theorem For Higher Order Differential Inequalities”, Nonlinearity, 32:8 (2019), 3012–3022
Torebek B.T., “Global Unsolvability of the Burgers Equation With Fractional Time Derivative”, Differ. Equ., 55:6 (2019), 867–870
Agarwal R.P., Jleli M., Samet B., “Nonexistence of Global Solutions For a Time-Fractional Damped Wave Equation in a K-Times Halved Space”, Comput. Math. Appl., 78:5, SI (2019), 1608–1620
Gu X.-M., Shi L., Liu T., “Well-Posedness of the Fractional Ginzburg-Landau Equation”, Appl. Anal., 98:14 (2019), 2545–2558
Lan H.-Y., Nieto J.J., “On a System of Semilinear Elliptic Coupled Inequalities For S-Contractive Type Involving Demicontinuous Operators and Constant Harvesting”, Dyn. Syst. Appl., 28:3 (2019), 625–649
Bekbolat B. Kassymov A. Tokmagambetov N., “Blow-Up of Solutions of Nonlinear Heat Equation With Hypoelliptic Operators on Graded Lie Groups”, Complex Anal. Oper. Theory, 13:7 (2019), 3347–3357
Grigor'yan A. Sun Yu., “On Positive Solutions of Semi-Linear Elliptic Inequalities on Riemannian Manifolds”, Calc. Var. Partial Differ. Equ., 58:6 (2019), 207
Ahmad A.M., Tatar N.-E., “Nonexistence of Global Solutions For a Fractional System of Strongly Coupled Integro-Differential Equations”, Turk. J. Math., 43:6 (2019), 2715–2730
Alarfaj T., Aljaber N., Alshammari M., Majdoub M., “A Remark on Blow-Up Solutions For Nonlinear Wave Equation With Weighted Nonlinearities”, J. Math. Anal., 10:6 (2019), 69–78
М. О. Корпусов, Е. А. Овсянников, “Взрывная неустойчивость в нелинейных волновых моделях с распределенными параметрами”, Изв. РАН. Сер. матем., 84:3 (2020), 15–70 ; M. O. Korpusov, E. A. Ovsyannikov, “Blow-up instability in non-linear wave models with distributed parameters”, Izv. Math., 84:3 (2020), 449–501
С. С. Харибегашвили, О. М. Джохадзе, “О разрешимости смешанной задачи с нелинейным граничным условием для одномерного полулинейного волнового уравнения”, Матем. заметки, 108:1 (2020), 137–152 ; S. S. Kharibegashvili, O. M. Dzhokhadze, “Solvability of a Mixed Problem with Nonlinear Boundary Condition for a One-Dimensional Semilinear Wave Equation”, Math. Notes, 108:1 (2020), 123–136
М. О. Корпусов, “Разрушение и глобальная разрешимость в классическом смысле задачи Коши для формально гиперболического уравнения с некоэрцитивным источником”, Изв. РАН. Сер. матем., 84:5 (2020), 119–150 ; M. O. Korpusov, “Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source”, Izv. Math., 84:5 (2020), 930–959
А. З. Фино, Е. И. Галахов, О. А. Салиева, “Отсутствие глобальных слабых решений для эволюционных уравнений с дробным лапласианом”, Матем. заметки, 108:6 (2020), 911–919 ; A. Z. Fino, E. I. Galakhov, O. A. Salieva, “Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian”, Math. Notes, 108:6 (2020), 877–883
Anh Tuan Duong, Quoc Hung Phan, “Optimal Liouville-Type Theorems For a System of Parabolic Inequalities”, Commun. Contemp. Math., 22:6 (2020), 1950043
Quoc Anh Ngo, Van Hoang Nguyen, Quoc Hung Phan, Ye D., “Exhaustive Existence and Non-Existence Results For Some Prototype Polyharmonic Equations in the Whole Space”, J. Differ. Equ., 269:12 (2020), 11621–11645
Monticelli D.D., Punzo F., Squassina M., “Nonexistence For Hyperbolic Problems on Riemannian Manifolds”, Asymptotic Anal., 120:1-2 (2020), 87–101
Samet B., “First and Second Critical Exponents For An Inhomogeneous Damped Wave Equation With Mixed Nonlinearities”, AIMS Math., 5:6 (2020), 7055–7070
Ahmad B., Alsaedi A., Berbiche M., Kirane M., “Existence of Global Solutions and Blow-Up of Solutions For Coupled Systems of Fractional Diffusion Equations”, Electron. J. Differ. Equ., 2020, 110
Jleli M., Samet B., “Nonexistence Results For Some Classes of Nonlinear Fractional Differential Inequalities”, J. Funct. space, 2020 (2020), 8814785
Fino A.Z., “Finite Time Blow-Up For Wave Equations With Strong Damping in An Exterior Domain”, Mediterr. J. Math., 17:6 (2020), 174
Kharibegashvili S., Midodashvili B., “On the Existence, Uniqueness, and Nonexistence of Solutions of One Boundary-Value Problem For a Semilinear Hyperbolic Equation”, Ukr. Math. J., 71:8 (2020), 1282–1293
Quoc Hung Phan, “Nonexistence Results For a Semilinear Heat Equation With Bounded Potentials”, Nonlinear Anal.-Theory Methods Appl., 192 (2020), 111667
Ghergu M. Karageorgis P. Singh G., “Positive Solutions For Quasilinear Elliptic Inequalities and Systems With Nonlocal Terms”, J. Differ. Equ., 268:10 (2020), 6033–6066
Liu X., Lei Yu., “On the Existence For An Integral System Including M Equations”, Taiwan. J. Math., 24:2 (2020), 421–437
Alsaedi A., Kirane M., Torebek B.T., “Blow-Up of Smooth Solutions of the Time-Fractional Burgers Equation”, Quaest. Math., 43:2 (2020), 185–192
Avila A., Brock F., “A Unified Approach to Symmetry For Semilinear Equations Associated to the Laplacian in R-N”, J. Math. Anal. Appl., 488:2 (2020), 124087
Georgiev V., Palmieri A., “Critical Exponent of Fujita-Type For the Semilinear Damped Wave Equation on the Heisenberg Group With Power Nonlinearity”, J. Differ. Equ., 269:1 (2020), 420–448
Jleli M., Kawakami T., Samet B., “Critical Behavior For a Semilinear Parabolic Equation With Forcing Term Depending on Time and Space”, J. Math. Anal. Appl., 486:2 (2020), 123931
Jleli M., Samet B., Souplet Ph., “Discontinuous Critical Fujita Exponents For the Heat Equation With Combined Nonlinearities”, Proc. Amer. Math. Soc., 148:6 (2020), 2579–2593
Taliaferro S.D., “Pointwise Bounds and Blow-Up For Systems of Nonlinear Fractional Parabolic Inequalities”, Nonlinear Anal.-Theory Methods Appl., 195 (2020), 111744
Villavert J., “Classification of Radial Solutions to Equations Related to Caffarelli-Kohn-Nirenberg Inequalities”, Ann. Mat. Pura Appl., 199:1 (2020), 299–315
Huang X., Wang L., “Classification to the Positive Radial Solutions With Weighted Biharmonic Equation”, Discret. Contin. Dyn. Syst., 40:8 (2020), 4821–4837
Baldelli L., Filippucci R., “A Priori Estimates For Elliptic Problems Via Liouville Type Theorems”, Discret. Contin. Dyn. Syst.-Ser. S, 13:7, SI (2020), 1883–1898
Guo Z., Huang X., Wang L., Wei J., “On Delaunay Solutions of a Biharmonic Elliptic Equation With Critical Exponent”, J. Anal. Math., 140:1 (2020), 371–394
D'Ambrosio L. Mitidieri E., “On Some Multicomponent Quasilinear Elliptic Systems”, J. Math. Anal. Appl., 490:1 (2020), 124207
Cassani D., Schiera D., “Uniqueness Results For Higher Order Lane -Emden Systems”, Nonlinear Anal.-Theory Methods Appl., 198 (2020), 111871
Meglioli G., Punzo F., “Blow-Up and Global Existence For Solutions to the Porous Medium Equation With Reaction and Slowly Decaying Density”, J. Differ. Equ., 269:10 (2020), 8918–8958
Dai W., Qin G., “Liouville Type Theorems For Elliptic Equations With Dirichlet Conditions in Exterior Domains”, J. Differ. Equ., 269:9 (2020), 7231–7252
Barrios B., Quaas A., “The Sharp Exponent in the Study of the Nonlocal Henon Equation in R-N: a Liouville Theorem and An Existence Result”, Calc. Var. Partial Differ. Equ., 59:4 (2020), 114
Jleli M., Kirane M., Samet B., “Nonexistence of Global Weak Solutions of a System of Nonlinear Wave Equations With Nonlinear Fractional Damping”, J. Funct. space, 2020 (2020), 5764195
Bagyrov Sh.G., “Nonexistence of Global Positive Solutions of Weakly Coupled Systems of Semilinear Parabolic Equations With Time-Periodic Coefficients”, Differ. Equ., 56:6 (2020), 721–733
Berbiche M., Terchi M., “On the Nonexistence of Global Solutions For Wave Equations With Double Damping Terms and Nonlinear Memory”, Tbil. Math. J., 13:2 (2020), 161–178
Tsegaw B., “On the Unsolvability Conditions For Quasilinear Pseudohyperbolic Equations”, Appl. Appl. Math., 15:2 (2020), 1381–1395
Jleli M., “Instantaneous Blow-Up of Solutions to the Cauchy Problem For the Fractional Khokhlov-Zabolotskaya Equation”, Open Math., 18 (2020), 1266–1271
Luo Ya., Xu R., “The Nonexistence of Global Solution For System of Q-Difference Inequalities”, Math. Found. Comuput., 3:3 (2020), 195–203
Liu X., Lei Yu., “Existence of Positive Solutions For Integral Systems of the Weighted Hardy-Littlewood-Sobolev Type”, Discret. Contin. Dyn. Syst., 40:1 (2020), 467–489
М. О. Корпусов, Г. И. Шляпугин, “О разрушении решений задач Коши для одного класса нелинейных уравнений теории ферритов”, Материалы Всероссийской научной конференции «Дифференциальные уравнения и их приложения», посвященной 85-летию профессора М. Т. Терёхина. Рязанский государственный университет им. С.А. Есенина, Рязань, 17–18 мая 2019 г. Часть 1, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 185, ВИНИТИ РАН, М., 2020, 79–131
М. О. Корпусов, А. А. Панин, А. Е. Шишков, “О критическом показателе “мгновенное разрушение” versus “локальная разрешимость” в задаче Коши для модельного уравнения соболевского типа”, Изв. РАН. Сер. матем., 85:1 (2021), 118–153 ; M. O. Korpusov, A. A. Panin, A. E. Shishkov, “On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type”, Izv. Math., 85:1 (2021), 111–144
Jleli M., Samet B., “New Blow-Up Phenomena For Hyperbolic Inequalities With Combined Nonlinearities”, J. Math. Anal. Appl., 494:1 (2021), 124444
Benzahi M., Zarai A., Abdelmalek S., Bendoukha S., “Non-Solvability of Balakrishnan-Taylor System With Memory Term in R-N”, J. Math. Comput. Sci.-JMCS, 22:2 (2021), 110–118
Chen W., Reissig M., “Blow-Up of Solutions to Nakao'S Problem Via An Iteration Argument”, J. Differ. Equ., 275 (2021), 733–756
Souplet Ph., “Sharp Condition For the Liouville Property in a Class of Nonlinear Elliptic Inequalities”, Colloq. Math., 164:1 (2021), 43–52
Meglioli G., Punzo F., “Blow-Up and Global Existence For Solutions to the Porous Medium Equation With Reaction and Fast Decaying Density”, Nonlinear Anal.-Theory Methods Appl., 203 (2021), 112187
Alsaedi A., Ahmad B., Kirane M., Torebek B.T., “Blowing-Up Solutions of the Time-Fractional Dispersive Equations”, Adv. Nonlinear Anal., 10:1 (2021), 952–971
В. Э. Адмасу, Е. И. Галахов, О. А. Салиева, “Отсутствие нетривиальных слабых решений некоторых нелинейных неравенств с градиентной нелинейностью”, Дифференциальные уравнения с частными производными, СМФН, 67, № 1, Российский университет дружбы народов, М., 2021, 1–13
М. О. Корпусов, А. К. Матвеева, “О критических показателях для слабых решений задачи Коши для одного нелинейного уравнения составного типа”, Изв. РАН. Сер. матем., 85:4 (2021), 96–136 ; M. O. Korpusov, A. K. Matveeva, “On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type”, Izv. Math., 85:4 (2021), 705–744
W. E. Admasu, E. I. Galakhov, O. A. Salieva, “Nonexistence of nontrivial weak solutions of some nonlinear inequalities with integer power of the Laplacian”, Eurasian Math. J., 12:3 (2021), 9–18

Труды Математического института им. В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

Просмотров:
Эта страница:	5358
Полный текст:	1839
Литература:	244

Что такое QR-код?

Обратная связь:

Пользовательское соглашение

Регистрация посетителей портала

Логотипы