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 Tr. Mat. Inst. Steklova, 2001, Volume 234, Pages 3–383 (Mi tm230)

A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities

E. Mitidieria, S. I. Pokhozhaevb

a University of Trieste
b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: A general approach is proposed to a priori estimates for solutions to nonlinear partial differential equations and inequalities. Applications of these estimates to the problem of nonexistence of solutions are considered. The method is based on the concept of nonlinear capacity induced by a nonlinear differential operator. The contents of this volume are divided into three parts devoted to elliptic, parabolic, and hyperbolic nonlinear problems.
For specialists in nonlinear partial differential equations, mathematical physics, and applied mathematics, as well as for postgraduates and senior students of relevant specialities.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2001, 234, 1–362

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UDC: 517

Citation: E. Mitidieri, S. I. Pokhozhaev, “A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities”, Tr. Mat. Inst. Steklova, 234, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 3–383; Proc. Steklov Inst. Math., 234 (2001), 1–362

Citation in format AMSBIB
\Bibitem{MitPok01} \by E.~Mitidieri, S.~I.~Pokhozhaev \paper A~priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities \serial Tr. Mat. Inst. Steklova \yr 2001 \vol 234 \pages 3--383 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \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 

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1. G. G. Laptev, “Non-existence of solutions of semilinear parabolic differential inequalities in cones”, Sb. Math., 192:10 (2001), 1471–1490
2. G. G. Laptev, “On the Absence of Solutions for a Class of Singular Semilinear Differential Inequalities”, Proc. Steklov Inst. Math., 232 (2001), 216–228
3. D'Ambrosio L., “Critical degenerate inequalities on the Heisenberg group”, Manuscripta Mathematica, 106:4 (2001), 519–536
4. 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
5. G. G. Laptev, “Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains”, Math. Notes, 71:6 (2002), 782–793
6. 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
7. G. G. Laptev, “Absence of solutions of differential inequalities and systems of hyperbolic type in conic domains”, Izv. Math., 66:6 (2002), 1147–1170
8. 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
9. 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
10. Kon'kov A.A., “Behavior of solutions to nonlinear elliptic inequalities in domains of arbitrary geometry”, Doklady Mathematics, 66:3 (2002), 411–414
11. Caristi G., “On the absence of solutions of systems of quasilinear elliptic inequalities”, Differential Equations, 38:3 (2002), 375–383
12. 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
13. Mitidieri E., Pohozaev S.I., “Fujita–type theorems for quasilinear parabolic inequalities with nonlinear gradient”, Doklady Mathematics, 66:2 (2002), 187–191
14. Besov K.O., “Eigenfunctions of some nonlinear nonlocal operators”, Differential Equations, 38:4 (2002), 510–519
15. Hay J., “Necessary conditions for the existence of global solutions of higher–order nonlinear ordinary differential inequalities”, Differential Equations, 38:3 (2002), 362–368
16. 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
17. G. G. Laptev, “Nonexistence of global solutions to parabolic porous-medium equations”, Comput. Math. Math. Phys., 42:8 (2002), 1146–1153
18. 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
19. G. G. Laptev, “Absence of solutions to higher-order evolution differential inequalities”, Siberian Math. J., 44:1 (2003), 117–131
20. K. O. Besov, “On the Global Solvability of Semilinear Parabolic Systems with Mixed Right-Hand Side”, Proc. Steklov Inst. Math., 243 (2003), 59–79
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23. 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
24. Kon'kov A.A., “Behavior of solutions of quasilinear parabolic inequalities”, Russ. J. Math. Phys., 10:4 (2003), 467–472
25. Pokhozhaev S.I., “On hyperbolic systems of conservation laws”, Differ. Equ., 39:5 (2003), 701–711
26. D'Ambrosio L., Lucente S., “Nonlinear Liouville theorems for Grushin and Tricomi operators”, J. Differential Equations, 193:2 (2003), 511–541
27. 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
28. 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
29. 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
30. 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
31. 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
32. Laptev G.G., “Nonexistence results for higher-order evolution partial differential inequalities”, Proc. Amer. Math. Soc., 131:2 (2003), 415–423
33. 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
34. 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
35. A. A. Kon'kov, “Comparison theorems for elliptic divergence inequalities containing terms with lower derivatives”, Russian Math. Surveys, 59:5 (2004), 961–962
36. 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
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39. Galakhov E.I., “Positive solutions of some semilinear differential inequalities and systems”, Differential Equations, 40:5 (2004), 711–722
40. D'Ambrosio L., “Some Hardy inequalities on the Heisenberg group”, Differential Equations, 40:4 (2004), 552–564
41. 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
42. 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
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45. 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
46. Kon'kov A.A., “Comparison theorems for second-order elliptic inequalities”, Nonlinear Analysis-Theory Methods & Applications, 59:4 (2004), 583–608
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67. 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
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72. 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
73. 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
74. 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
75. Galakhov E., “Positive solutions of some quasilinear partial differential inequalities and systems”, Mathematische Nachrichten, 279:8 (2006), 831–842
76. 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
77. Gazzola F., Grunau H.C., “Radial entire solutions for supercritical biharmonic equations”, Mathematische Annalen, 334:4 (2006), 905–936
78. 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
79. Astashova I.V., “Uniform estimates for positive solutions of quasilinear differential equations”, Doklady Mathematics, 74:1 (2006), 555–558
80. 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
81. 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
82. Galaktionov V.A., Shishkov A.E., “Higher–order quasilinear parabolic equations with singular initial data”, Communications in Contemporary Mathematics, 8:3 (2006), 331–354
83. 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
84. 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
85. 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
86. 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
87. 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
88. 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
89. 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
90. 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
91. Galaktionov V.A., Pohozaev S.I., “Blowup for nonlinear initial–boundary value problems”, Doklady Mathematics, 75:1 (2007), 76–79
92. 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
93. 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
94. 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
95. 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
96. 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
97. 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
98. 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
99. Galakhov E., “Some nonexistence results for quasilinear PDE's”, Communications on Pure and Applied Analysis, 6:1 (2007), 141–161
100. 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
101. 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
102. Yuri Bozhkov, Enzo Mitidieri, “Lie Symmetries and Criticality of Semilinear Differential Systems”, SIGMA, 3 (2007), 053, 17 pp.
103. I. V. Astashova, “Uniform estimates of positive solutions to quasi-linear differential equations”, J. Math. Sci. (N. Y.), 143:4 (2007), 3198–3204
104. 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
105. Proc. Steklov Inst. Math., 260 (2008), 90–111
106. E. I. Galakhov, “On Differential Inequalities with Point Singularities on the Boundary”, Proc. Steklov Inst. Math., 260 (2008), 112–122
107. Proc. Steklov Inst. Math., 260 (2008), 123–143
108. S. I. Pokhozhaev, “On the Blow-up of Solutions to Nonlinear Initial–Boundary Value Problems”, Proc. Steklov Inst. Math., 260 (2008), 204–217
109. I. V. Astashova, “Uniform Estimates for Positive Solutions of Higher Order Quasilinear Differential Equations”, Proc. Steklov Inst. Math., 261 (2008), 22–33
110. A. A. Kon'kov, “On the absence of global solutions of the radial $p$-Laplace equation”, Russian Math. Surveys, 63:1 (2008), 161–162
111. S. I. Pokhozhaev, “On blow-up of solutions of the Kuramoto-Sivashinsky equation”, Sb. Math., 199:9 (2008), 1355–1365
112. O. M. Dzhokhadze, S. S. Kharibegashvili, “First Darboux Problem for Nonlinear Hyperbolic Equations of Second Order”, Math. Notes, 84:5 (2008), 646–663
113. I. V. Astashova, “Uniform estimates for positive solutions of quasi-linear ordinary differential equations”, Izv. Math., 72:6 (2008), 1141–1160
114. Galaktionov, VA, “CAPACITY INDUCED BY A NONLINEAR OPERATOR AND APPLICATIONS”, Georgian Mathematical Journal, 15:3 (2008), 501
115. 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
116. 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
117. 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
118. Pohozaev S.I., “On the nonexistence of global solutions of the Hamilton–Jacobi equation”, Differential Equations, 44:10 (2008), 1467–1477
119. 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
120. 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
121. 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
122. Tatar N.-e., “Nonexistence results for a fractional problem arising in thermal diffusion in fractal media”, Chaos Solitons & Fractals, 36:5 (2008), 1205–1214
123. 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
124. 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
125. 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
126. 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
127. 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
128. 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
129. 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
130. Musina R., “Ground state solutions of a critical problem involving cylindrical weights”, Nonlinear Analysis–Theory Methods & Applications, 68:12 (2008), 3972–3986
131. 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
132. 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
133. 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
134. S. I. Pokhozhaev, “On the Absence of Positive Solutions of Elliptic Equations in Plane Unbounded Domains”, Math. Notes, 85:2 (2009), 240–250
135. M. O. Korpusov, A. G. Sveshnikov, “Blow-up of Oskolkov's system of equations”, Sb. Math., 200:4 (2009), 549–572
136. Caristi, G, “Some Liouville theorems for quasilinear elliptic inequalities”, Doklady Mathematics, 79:1 (2009), 118
137. E. I. Galakhov, “On the Absence of Local Solutions of Several Evolutionary Problems”, Math. Notes, 86:3 (2009), 314–324
138. 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
139. E. I. Galakhov, “Elliptic and parabolic inequalities with point singularities on the boundary”, Sb. Math., 200:10 (2009), 1417–1437
140. Mitidieri E., Pokhozhaev S.I., “Lifespan estimates for solutions of some evolution inequalities”, Differential Equations, 45:10 (2009), 1473–1484
141. 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
142. 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
143. 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
144. 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
145. Chen W., Li C., “An Integral System and the Lane–Emden Conjecture”, Discrete and Continuous Dynamical Systems, 24:4 (2009), 1167–1184
146. Quaas A., Sirakov B., “Existence and Non–existence Results for Fully Nonlinear Elliptic Systems”, Indiana University Mathematics Journal, 58:2 (2009), 751–788
147. D'Ambrosio L., “Liouville theorems for anisotropic quasilinear inequalities”, Nonlinear Analysis–Theory Methods & Applications, 70:8 (2009), 2855–2869
148. Filippucci R., “Nonexistence of positive weak solutions of elliptic inequalities”, Nonlinear Analysis–Theory Methods & Applications, 70:8 (2009), 2903–2916
149. 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
150. Kon'kov A.A., “On global solutions of the radial p–Laplace equation”, Nonlinear Analysis–Theory Methods & Applications, 70:10 (2009), 3437–3451
151. 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
152. Serrin J., “Entire solutions of quasilinear elliptic equations”, Journal of Mathematical Analysis and Applications, 352:1 (2009), 3–14
153. 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
154. 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
155. 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
156. 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
157. Vetois J., “A priori estimates for solutions of anisotropic elliptic equations”, Nonlinear Analysis–Theory Methods & Applications, 71:9 (2009), 3881–3905
158. Pohozaev S.I., “Critical Nonlinearities in Partial Differential Equations”, Milan Journal of Mathematics, 77:1 (2009), 127–150
159. Yakubov A.Ya., “On nonlinear Volterra equations of convolution type”, Differential Equations, 45:9 (2009), 1326–1336
160. 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
161. Galakhov E., “A comparison principle for quasilinear operators in unbounded domains”, Nonlinear Analysis–Theory Methods & Applications, 70:12 (2009), 4190–4194
162. 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
163. 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
164. Jokhadze O., “Cauchy-Goursat Problem for One-Dimensional Semilinear Wave Equations”, Communications in Partial Differential Equations, 34:4 (2009), 367–382
165. Galakhov E.I., “Blow-up of solutions of some nonlinear wave equations”, Differential Equations, 45:1 (2009), 59–67
166. A. A. Kon'kov, “Comparison Theorems for Quasilinear Elliptic Inequalities”, Math. Notes, 87:4 (2010), 588–589
167. Pohozaev S.I., “On the blow–up of sign–changing solutions to semilinear parabolic equations”, Doklady Mathematics, 81:2 (2010), 185–187
168. Garcia-Melian J., Quiros F., “Fujita exponents for evolution problems with nonlocal diffusion”, Journal of Evolution Equations, 10:1 (2010), 147–161
169. 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
170. Laskri Ya., Tatar N.-e., “The critical exponent for an ordinary fractional differential problem”, Computers & Mathematics With Applications, 59:3 (2010), 1266–1270
171. 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
172. 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
173. Berchio E., Cassani D., Gazzola F., “Hardy–Rellich inequalities with boundary remainder terms and applications”, Manuscripta Mathematica, 131:3–4 (2010), 427–458
174. S. I. Pokhozhaev, “Concerning an Equation in the Theory of Combustion”, Math. Notes, 88:1 (2010), 48–56
175. E. I. Galakhov, “On higher order elliptic and parabolic inequalities with singularities on the boundary”, Proc. Steklov Inst. Math., 269 (2010), 76–84
176. S. I. Pohozaev, “Blow-up of sign-changing solutions to quasilinear parabolic equations”, Proc. Steklov Inst. Math., 269 (2010), 208–217
177. S. I. Pokhozhaev, “On the Singular Solutions of the Korteweg–de Vries Equation”, Math. Notes, 88:5 (2010), 741–747
178. P. P. Matus, “Well-posedness of difference schemes for semilinear parabolic equations with weak solutions”, Comput. Math. Math. Phys., 50:12 (2010), 2044–2063
179. 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
180. 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
181. Gazzola F., Grunau H.-Ch., Sweers G., “Models of Higher Order”, Polyharmonic Boundary Value Problems, Lecture Notes in Mathematics, 1991, 2010, 1
182. Fino A., Karch G., “Decay of mass for nonlinear equation with fractional Laplacian”, Monatsh Math, 160:4 (2010), 375–384
183. 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
184. Antontsev S., Shmarev S., “Blow-up of solutions to parabolic equations with nonstandard growth conditions”, J Comput Appl Math, 234:9 (2010), 2633–2645
185. Filippucci R., Pucci P., Rigoli M., “Nonlinear Weighted P-Laplacian Elliptic Inequalities with Gradient Terms”, Commun Contemp Math, 12:3 (2010), 501–535
186. Pokhozhaev S.I., “On stationary solutions of the Vlasov–Poisson equations”, Differ Equ, 46:4 (2010), 530–537
187. 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
188. Galaktionov V.A., “Incomplete Self-Similar Blow-Up in a Semilinear Fourth-Order Reaction-Diffusion Equation”, Stud Appl Math, 124:4 (2010), 347–381
189. 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
190. 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
191. G. A. Rudykh, “Analiz statsionarnykh reshenii nachalno-kraevoi zadachi dlya nelokalnogo parabolicheskogo uravneniya fiziki plazmy”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 3:2 (2010), 61–87
192. M. O. Korpusov, “Blow-up of ion acoustic waves in a plasma”, Sb. Math., 202:1 (2011), 35–60
193. S. I. Pokhozhaev, “Weighted Identities for the Solutions of Generalized Korteweg–de Vries Equations”, Math. Notes, 89:3 (2011), 382–396
194. 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
195. M. O. Korpusov, “Destruction of solutions of wave equations in systems with distributed parameters”, Theoret. and Math. Phys., 167:2 (2011), 577–583
196. S. I. Pohozaev, “On the absence of global solutions of the Korteweg–de Vries equation”, Journal of Mathematical Sciences, 190:1 (2013), 147–156
197. Farina A., Serrin J., “Entire solutions of completely coercive quasilinear elliptic equations”, J Differential Equations, 250:12 (2011), 4367–4408
198. 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
199. Lan K.Q., “Positive weak solutions of semilinear second order elliptic inequalities via variational inequalities”, J Math Anal Appl, 380:2 (2011), 520–530
200. 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
201. Surnachev M., “Asymptotic behaviour of solutions of nondivergence type semilinear elliptic equations in conical domains I”, Asymptot Anal, 71:4 (2011), 227–243
202. 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
203. Li X., Li F., “A priori estimates for nonlinear differential inequalities and applications”, J Math Anal Appl, 378:2 (2011), 723–733
204. 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
205. 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
206. 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
207. 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
208. Filippucci R., “Nonexistence of nonnegative solutions of elliptic systems of divergence type”, J Differential Equations, 250:1 (2011), 572–595
209. 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
210. M. O. Korpusov, “On the blow-up of internal gravitational waves with non-linear sources”, Izv. Math., 75:4 (2011), 691–710
211. 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
212. I. G. Tsar'kov, “Stability of Unique Solvability of Quasilinear Equations Given Additional Data”, Math. Notes, 90:6 (2011), 894–919
213. 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
214. Kharibegashvili S.S., Dzhokhadze O.M., “Cauchy Problem for a Generalized Nonlinear Liouville Equation”, Differ Equ, 47:12 (2011), 1763–1775
215. 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
216. 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
217. Antontsev S., “Wave equation with p(x, t)-Laplacian and damping term: Blow-up of solutions”, Comptes Rendus Mecanique, 339:12 (2011), 751–755
218. 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
219. 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
220. Kerbal S., Kirane M., “Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations”, Abstr Appl Anal, 2011, 149091
221. Berbiche M., “Nonexistence of Solutions Results for Certain Fractional Differential Equations”, Math Model Anal, 16:3 (2011), 488–497
222. 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
223. 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
224. 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
225. Fino A.Z., “Critical exponent for damped wave equations with nonlinear memory”, Nonlinear Analysis-Theory Methods & Applications, 74:16 (2011), 5495–5505
226. 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
227. Kerbal S., “On a recent result of Cazenave, Dickstein and Weissler”, Appl Math Lett, 24:10 (2011), 1693–1697
228. 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
229. Fino A.Z., Kirane M., “Qualitative properties of solutions to a nonlocal evolution system”, Math Methods Appl Sci, 34:9 (2011), 1125–1143
230. 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
231. 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
232. Pokhozhaev S.I., “On the Existence and Nonexistence of Solutions of Some Quasilinear Hyperbolic Equations”, Differ Equ, 47:12 (2011), 1754–1762
233. 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
234. M. O. Korpusov, “Blowup of solutions of the three-dimensional Rosenau–Burgers equation”, Theoret. and Math. Phys., 170:3 (2012), 280–286
235. 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
236. 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
237. 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
238. Fino A.Z., Kirane M., “Qualitative Properties of Solutions to a Time-Space Fractional Evolution Equation”, Quart Appl Math, 70:1 (2012), 133–157
239. 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
240. 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
241. Liu Ch., “Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone”, Monatsh Math, 165:2 (2012), 237–249
242. Kon'kov A.A., “On comparison theorems for elliptic inequalities”, J Math Anal Appl, 388:1 (2012), 102–124
243. 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
244. Fazly M., “Liouville Type Theorems for Stable Solutions of Certain Elliptic Systems”, Adv Nonlinear Stud, 12:1 (2012), 1–17
245. 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
246. Quoc Hung Phan, Souplet Ph., “Liouville-type theorems and bounds of solutions of Hardy-Henon equations”, J Differential Equations, 252:3 (2012), 2544–2562
247. 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
248. 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
249. 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
250. E. V. Yushkov, “Blowup of solutions of a Korteweg–de Vries-type equation”, Theoret. and Math. Phys., 172:1 (2012), 932–938
251. 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
252. Korpusov M.O., “On the Blow-Up of the Solution of an Equation with a Gradient Nonlinearity”, Differ. Equ., 48:6 (2012), 796–808
253. Pohozaev S.I., “Blow-Up of Global Sign-Changing Solutions of a Nonlinear Heat Equation”, Dokl. Math., 85:2 (2012), 225–228
254. Pokhozhaev S.I., “Ob odnom klasse nachalno-kraevykh zadach dlya uravnenii tipa kortevega–de friza”, Differentsialnye uravneniya, 48:3 (2012), 368–368
255. E. I. Galakhov, “On a Nonlinear Scattering Model”, Math. Notes, 92:3 (2012), 333–344
256. 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
257. M. O. Korpusov, “Solution blowup for the heat equation with double nonlinearity”, Theoret. and Math. Phys., 172:3 (2012), 1173–1176
258. E. V. Yushkov, “Blowup in Korteweg–de Vries-type systems”, Theoret. and Math. Phys., 173:2 (2012), 1498–1506
259. E. V. Yushkov, “O razrushenii reshenii zadach gidrodinamicheskogo tipa s singulyarnym istochnikom”, Zh. vychisl. matem. i matem. fiz., 52:8 (2012), 1523–1535
260. 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
261. 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
262. Wang W., Hong L., “Liouville-Type Theorems for Semilinear Elliptic Systems”, Nonlinear Anal.-Theory Methods Appl., 75:13 (2012), 5380–5391
263. Pohozaev S.I., “Blow-Up of Smooth Solutions of the Korteweg-de Vries Equation”, Nonlinear Anal.-Theory Methods Appl., 75:12 (2012), 4688–4698
264. Quoc Hung Phan, “Liouville-Type Theorems and Bounds of Solutions for Hardy-Henon Elliptic Systems”, Adv. Differ. Equat., 17:7-8 (2012), 605–634
265. 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
266. Li X. Li F., “Nonexistence of Solutions for Nonlinear Differential Inequalities with Gradient Nonlinearities”, Commun. Pure Appl. Anal, 11:3 (2012), 935–943
267. Kharibegashvili S., Midodashvili B., “Solvability of Nonlocal Problems for Semilinear One-Dimensional Wave Equations”, Electron. J. Differ. Equ., 2012, 28
268. Quittner P., Souplet Ph., “Symmetry of Components for Semilinear Elliptic Systems”, SIAM J. Math. Anal., 44:4 (2012), 2545–2559
269. Qassim M.D., Furati K.M., Tatar N.-E., “On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative”, Abstract Appl. Anal., 2012, 391062
270. Manita O.A., Shaposhnikov S.V., “Nonlinear Parabolic Equations for Measures”, Dokl. Math., 86:3 (2012), 857–860
271. 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
272. Dzh. O. Ogun, Yu. N. Orlov, V. Zh. Sakbaev, “O preobrazovanii prostranstva nachalnykh dannykh dlya zadachi Koshi s osobennostyami resheniya tipa vzryva”, Preprinty IPM im. M. V. Keldysha, 2012, 087, 31 pp.
273. 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
274. 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
275. M. O. Korpusov, “Solution blow-up for a class of parabolic equations with double nonlinearity”, Sb. Math., 204:3 (2013), 323–346
276. M. O. Korpusov, “Blow-up of solutions of strongly dissipative generalized Klein–Gordon equations”, Izv. Math., 77:2 (2013), 325–353
277. 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
278. V. Zh. Sakbaev, “Razrushenie reshenii zadachi Koshi dlya nelineinogo uravnenii Shredingera”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 159–171
279. 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
280. Lei Yu., “Asymptotic Properties of Positive Solutions of the Hardy-Sobolev Type Equations”, J. Differ. Equ., 254:4 (2013), 1774–1799
281. D'Ambrosio L., “A New Critical Curve for a Class of Quasilinear Elliptic Systems”, Nonlinear Anal.-Theory Methods Appl., 78 (2013), 62–78
282. Aliev A.B., Kazimov A.A., “Globalnaya razreshimost zadachi koshi dlya polulineinykh giperbolicheskikh uravnenii s dissipatsiei i anizotropnoi ellipticheskoi chastyu”, Doklady akademii nauk, 448:3 (2013), 255–255
283. Korpusov M.O., “O razrushenii reshenii odnoi dissipativnoi sistemy uravnenii s polozhitelnoi energiei v klassicheskoi teorii polya”, Differentsialnye uravneniya, 49:3 (2013), 310–310
284. Aliev A.B., Kazimov A.A., “Globalnaya razreshimost i povedenie reshenii zadachi Koshi dlya sistem dvukh polulineinykh giperbolicheskikh uravnenii s dissipatsiei”, Differentsialnye uravneniya, 49:4 (2013), 476–476
285. Pokhozhaev S.I., “Otsutstvie globalnykh reshenii nelineinykh evolyutsionnykh uravnenii”, Differentsialnye uravneniya, 49:5 (2013), 625–625
286. E. I. Galakhov, “Comparison principles for the $p$-Laplacian operator”, Journal of Mathematical Sciences, 202:6 (2014), 825–834
287. A. B. Muravnik, “On blow-up of solutions of some systems of quasilinear parabolic inequalities”, Journal of Mathematical Sciences, 202:6 (2014), 859–868
288. S. S. Kharibegashvili, O. M. Dzhokhadze, “The Cauchy–Goursat Problem for Wave Equations with Nonlinear Dissipative Term”, Math. Notes, 94:6 (2013), 913–929
289. 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
290. M. O. Korpusov, E. V. Yushkov, “Solution blowup for systems of shallow-water equations”, Theoret. and Math. Phys., 177:2 (2013), 1505–1514
291. V. Zh. Sakbaev, “Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation”, Proc. Steklov Inst. Math., 283 (2013), 165–180
292. E. I. Galakhov, “On some partial differential inequalities with gradient terms”, Proc. Steklov Inst. Math., 283 (2013), 35–43
293. Proc. Steklov Inst. Math., 283 (2013), 3–19
294. 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
295. 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
296. I. V. Astashova, “Uniform estimates of solutions of a nonlinear third-order differential equation”, J. Math. Sci. (N. Y.), 197:2 (2014), 237–247
297. A. A. Kon'kov, “Stabilization of solutions of the nonlinear Fokker–Planck equation”, J. Math. Sci. (N. Y.), 197:3 (2014), 358–366
298. 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
299. 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
300. 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
301. D'Ambrosio L. Mitidieri E., “Hardy-Littlewood-Sobolev Systems and Related Liouville Theorems”, Discret. Contin. Dyn. Syst.-Ser. S, 7:4 (2014), 653–671
302. Sun Yu., “Uniqueness Result for Non-Negative Solutions of Semi-Linear Inequalities on Riemannian Manifolds”, J. Math. Anal. Appl., 419:1 (2014), 643–661
303. 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
304. 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
305. 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
306. 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
307. Min L.-H., “Liouville Type Theorem For Higher Order Hardy-Henon System of Inequalities”, Math. Inequal. Appl., 17:4 (2014), 1427–1439
308. Cowan C., “a Liouville Theorem For a Fourth Order Henon Equation”, Adv. Nonlinear Stud., 14:3 (2014), 767–776
309. 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
310. Fazly M., Ghoussoub N., “on the Henon-Lane-Emden Conjecture”, Discret. Contin. Dyn. Syst., 34:6, SI (2014), 2513–2533
311. Liu Ch., “the Critical Fujita Exponent For a Diffusion Equation With a Potential Term”, Lith. Math. J., 54:2 (2014), 182–191
312. 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
313. 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
314. 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
315. Khomrutai S., Kitisin N., “Blow-Up in Non-Autonomous Semilinear Pseudoparabolic Equations”, Scienceasia, 40:5 (2014), 371–374
316. 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
317. 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
318. 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
319. D'Ambrosio L., Dipierro S., “Hardy Inequalities on Riemannian Manifolds and Applications”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 31:3 (2014), 449–475
320. D'Ambrosio L., Mitidieri E., “Liouville Theorems For Elliptic Systems and Applications”, J. Math. Anal. Appl., 413:1 (2014), 121–138
321. Radkevich E.V., “Inviscid Solutions of the Multicomponent Euler System”, Dokl. Math., 89:2 (2014), 197–201
322. Yang JinGe, Cao Yang, Zheng SiNing, “Fujita Phenomena in Nonlinear Pseudo-Parabolic System”, Sci. China-Math., 57:3 (2014), 555–568
323. Fang Zh.B., Xu L., “Liouville Theorems For a Singular Parabolic Differential Inequality With a Gradient Term”, J. Inequal. Appl., 2014, 62
324. O. Jokhadze, “The Cauchy problem for one-dimensional wave equations with a nonlinear dissipative term”, Eurasian Math. J., 5:4 (2014), 92–112
325. B. Tsegau, “Nonexistence of Global Solutions for Quasilinear Backward Parabolic Inequalities with $p$-Laplace-Type Operator”, Math. Notes, 97:4 (2015), 605–615
326. 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
327. Quoc Hung Phan, “Liouville-Type Theorems For Polyharmonic Henon-Lane-Emden System”, Adv. Nonlinear Stud., 15:2 (2015), 415–432
328. Jleli M., Samet B., “the Decay of Mass For a Nonlinear Fractional Reaction-Diffusion Equation”, Math. Meth. Appl. Sci., 38:7 (2015), 1369–1378
329. Jokhadze O., Kharibegashvili S., “on the Cauchy and Cauchy-Darboux Problems For Semilinear Wave Equations”, Georgian Math. J., 22:1 (2015), 81–104
330. 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
331. S. G. Pyatkov, S. N. Shergin, “On some mathematical models of filtration theory”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:2 (2015), 105–116
332. 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
333. E. V. Yushkov, M. O. Korpusov, “Global Unsolvability of One-Dimensional Problems for Burgers-Type Equations”, Math. Notes, 98:3 (2015), 503–514
334. 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
335. 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
336. Nabti A., “Nonexistence of Non-Trivial Global Weak Solutions For Higher-Order Nonlinear Schrodinger Equations”, Electron. J. Differ. Equ., 2015, 312
337. Mahmoudi N., “Universal Bounds and Blow-Up Estimates For a Reaction-Diffusion System”, Bound. Value Probl., 2015, 228
338. Berbiche M., “Existence and Blow-Up of Solutions For Damped Wave System With Nonlinear Memory”, Appl. Anal., 94:12 (2015), 2535–2564
339. Tsegaw B.B., “on the Nonexistence of Solutions of Some Anisotropic Elliptic and Backward Parabolic Inequalities”, Differ. Equ., 51:12 (2015), 1607–1619
340. 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
341. 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
342. 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
343. 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
344. 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
345. 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
346. 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
347. 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
348. 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
349. 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
350. Kon'kov A.A., “on Properties of Solutions of Quasilinear Second-Order Elliptic Inequalities”, Nonlinear Anal.-Theory Methods Appl., 123-124 (2015), 89–114
351. 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
352. Yang J., “Fujita-Type Phenomenon of Nonlinear Coupled Nonlocal Diffusion System”, J. Math. Anal. Appl., 428:1 (2015), 227–237
353. 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
354. Farina A., “Some Symmetry Results and Liouville-Type Theorems For Solutions To Semilinear Equations”, Nonlinear Anal.-Theory Methods Appl., 121 (2015), 223–229
355. 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
356. Khomrutai S., “Global and Blow-Up Solutions of Superlinear Pseudoparabolic Equations With Unbounded Coefficient”, Nonlinear Anal.-Theory Methods Appl., 122 (2015), 192–214
357. Azman I. Jleli M. Samet B., “Blow-Up of Solutions To Parabolic Inequalities in the Heisenberg Group”, Electron. J. Differ. Equ., 2015, 167
358. 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
359. 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
360. Li X., “Nonexistence of Solutions For Singular Nonlinear Ordinary Inequalities”, Electron. J. Qual. Theory Differ., 2015, no. 67
361. 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
362. 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
363. 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
364. 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
365. 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
366. A. A. Kon'kov, “On Estimates of Solutions to Elliptic Inequalities near a Singular Point”, Math. Notes, 99:4 (2016), 608–610
367. 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
368. 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
369. Villavert J., “Asymptotic and Optimal Liouville Properties For Wolff Type Integral Systems”, Nonlinear Anal.-Theory Methods Appl., 130 (2016), 102–120
370. 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
371. 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
372. T. A. Korchemkina, “O neprodolzhaemykh resheniyakh uravnenii tipa Emdena–Faulera vtorogo poryadka s otritsatelnym potentsialom”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 26:2 (2016), 231–238
373. 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
374. M. A. Terentev, “Ob otsutstvii i razrushenii reshenii v nekotorykh singulyarno vozmuschennykh zadachakh so smenoi ustoichivosti”, Model. i analiz inform. sistem, 23:5 (2016), 587–594
375. 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
376. 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
377. 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
378. Chen Yu., Zhu Yu., “Blow-up results for evolution problems with inhomogeneous nonlocal diffusion”, J. Math. Anal. Appl., 444:1 (2016), 452–463
379. 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
380. 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
381. Jleli M., Kirane M., Samet B., “Blow-up Results for Fractional Evolution Problems with Nonlocal Diffusion”, Mediterr. J. Math., 13:5 (2016), 3513–3523
382. 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
383. Lai B., Ye D., “Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems”, Proc. Edinb. Math. Soc., 59:3 (2016), 777–786
384. Al-Musalhi F., Kerbal S., “Cauchy Problem For Some Fractional Nonlinear Ultra-Parabolic Equations”, Electron. J. Differ. Equ., 2016, 172
385. 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
386. 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
387. 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
388. Lei Yu., “Radial Symmetry and Asymptotic Estimates for Positive Solutions to a Singular Integral Equation”, Taiwan. J. Math., 20:2 (2016), 473–489
389. Jleli M., Kirane M., Samet B., “Blow-Up Phenomena For Second-Order Differential Inequalities With Shifted Arguments”, Electron. J. Differ. Equ., 2016, 91
390. 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
391. 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
392. Salieva O., “Blow-Up of Solutions To Some Differential Equations and Inequalities With Shifted Arguments”, Electron. J. Differ. Equ., 2016, 57
393. 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
394. 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
395. Wang Y., Xiao J., “A uniqueness principle for up ? (??)? 2u in the Euclidean space”, Commun. Contemp. Math., 18:6 (2016), 1650019
396. 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
397. 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
398. 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
399. 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
400. A. A. Kon'kov, “Blow-up of solutions for a class of nondivergence elliptic inequalities”, Comput. Math. Math. Phys., 57:3 (2017), 453–463
401. 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
402. Sun Yu., “Absence of nonnegative solutions to the system of differential inequalities on manifolds”, J. Math. Anal. Appl., 450:2 (2017), 901–914
403. 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
404. 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
405. 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
406. Li X., “Non-existence of solutions for nonlinear differential inequalities with singularities on the boundary”, Complex Var. Elliptic Equ., 62:6 (2017), 748–759
407. 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
408. 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
409. 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
410. 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
411. Salieva O., “On nonexistence of solutions to some nonlinear inequalities with transformed argument”, Electron. J. Qual. Theory Differ., 2017, no. 3, 1–13
412. 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
413. Salieva O., “On nonexistence of solutions to some nonlinear parabolic inequalities”, Commun. Pure Appl. Anal, 16:3 (2017), 843–853
414. M. A. Terentev, “Zamechanie ob oblasti prityazheniya statsionarnogo resheniya odnogo singulyarno vozmuschennogo parabolicheskogo uravneniya”, Model. i analiz inform. sistem, 24:3 (2017), 353–358
415. 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
416. 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
417. E. V. Yushkov, M. O. Korpusov, “Gradient blow-up in generalized Burgers and Boussinesq equations”, Izv. Math., 81:6 (2017), 1286–1296
418. 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
419. 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
420. 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
421. 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
422. 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
423. 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
424. 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
425. 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
426. 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
427. 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
428. 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
429. Alsaedi A., Ahmad B., Kirane M., “A Survey of Useful Inequalities in Fractional Calculus”, Fract. Calc. Appl. Anal., 20:3 (2017), 574–594
430. D'Ambrosio L., Mitidieri E., “Quasilinear Elliptic Equations With Critical Potentials”, Adv. Nonlinear Anal., 6:2 (2017), 147–164
431. Jleli M., Samet B., “Liouville-Type Theorems For An Elliptic System Involving Fractional Laplacian Operators With Mixed Order”, Electron. J. Differ. Equ., 2017, 105
432. 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
433. Liu Ch., Wang H., “Global Existence and Nonexistence of Solutions For Newtonian Filtration Equation”, Appl. Anal., 96:8 (2017), 1379–1389
434. 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
435. 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
436. 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
437. Lei Yu., “Qualitative Properties of Positive Solutions of Quasilinear Equations With Hardy Terms”, Forum Math., 29:5 (2017), 1177–1198
438. 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
439. Kharibegashvili S., Midodashvili B., “One Nonlocal Problem in Time For a Semilinear Multidimensional Wave Equation”, Lith. Math. J., 57:3 (2017), 331–350
440. 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
441. 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
442. E. I. Galakhov, O. A. Salieva, “Ob otsutstvii neotritsatelnykh monotonnykh reshenii dlya nekotorykh koertsitivnykh neravenstv v poluprostranstve”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 63, no. 4, Rossiiskii universitet druzhby narodov, M., 2017, 573–585
443. Sh. G. Bagyrov, “Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential”, Math. Notes, 103:1 (2018), 24–32
444. 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
445. 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
446. 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
447. 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
448. 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
449. Schiera D., “Existence of Solutions to Higher Order Lane-Emden Type Systems”, Nonlinear Anal.-Theory Methods Appl., 168 (2018), 130–153
450. 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
451. Sun Yu., “Absence of Positive Solutions to the System of Differential Inequalities on Manifolds”, J. Math. Phys., 59:1 (2018), 011510
452. Dhara R.N., “On Solvability of Nonlinear Eigenvalue Problems For Degenerate PDEs of Elliptic Type”, Complex Var. Elliptic Equ., 63:4 (2018), 501–516
453. 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
454. 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
455. 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
456. 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
457. 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
458. 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
459. 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
460. 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
461. 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
462. M. O. Korpusov, “On an instantaneous blow-up of solutions of evolutionary problems on the half-line”, Izv. Math., 82:5 (2018), 914–930
463. 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
464. Schiera D., “Existence and Non-Existence Results For Variational Higher Order Elliptic Systems”, Discret. Contin. Dyn. Syst., 38:10 (2018), 5145–5161
465. Bagyrov Sh.G., “On Non-Existence of Positive Periodic Solution For Second Order Semilinear Parabolic Equation”, Azerbaijan J. Math., 8:2 (2018), 163–180
466. 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
467. D'Ambrosio L. Mitidieri E., “Quasilinear Elliptic Systems in Divergence Form Associated to General Nonlinearities”, Adv. Nonlinear Anal., 7:4 (2018), 425–447
468. 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
469. 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
470. 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
471. 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
472. 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
473. 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
474. 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
475. 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
476. D'Ambrosio L. Mitidieri E., “Representation Formulae of Solutions of Second Order Elliptic Inequalities”, Nonlinear Anal.-Theory Methods Appl., 178 (2019), 310–336
477. 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
478. 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
479. 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
480. 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
481. 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
482. Aydi H., Jleli M., Samet B., “On the Absence of Global Solutions For Some Q-Difference Inequalities”, Adv. Differ. Equ., 2019, 40
483. I. I. Kolotov, A. A. Panin, “O neprodolzhaemykh resheniyakh i razrushenii reshenii psevdoparabolicheskikh uravnenii s koertsitivnoi i znakopostoyannoi nelineinostyami: analiticheskoe i chislennoe issledovanie”, Matem. zametki, 105:5 (2019), 708–723
484. A. B. Muravnik, “O kachestvennykh svoistvakh znakopostoyannykh reshenii nekotorykh kvazilineinykh parabolicheskikh zadach”, Materialy mezhdunarodnoi konferentsii «International Conference on Mathematical Modelling in Applied Sciences, ICMMAS-17», Sankt-Peterburgskii politekhnicheskii universitet, 24–28 iyulya 2017 g., Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 160, VINITI RAN, M., 2019, 85–94
485. 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
486. 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
487. Xu F., “On the Existence of Nonnegative Solutions to Semilinear Differential Inequality on Riemannian Manifolds”, Nonlinear Anal.-Theory Methods Appl., 183 (2019), 29–41
488. 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
489. Muravnik A.B., “On Absence of Global Positive Solutions of Elliptic Inequalities With Kpz-Nonlinearities”, Complex Var. Elliptic Equ., 64:5 (2019), 736–740
490. Kharibegashvili S., Midodashvili B., “A Boundary Value Problem For Higher-Order Semilinear Partial Differential Equations”, Complex Var. Elliptic Equ., 64:5 (2019), 766–776
491. 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
492. Khomrutai S., “Weighted l-P Estimates and Fujita Exponent For a Nonlocal Equation”, Nonlinear Anal.-Theory Methods Appl., 184 (2019), 321–351
493. Ghosh S., Panda A., Choudhuri D., “Multiplicity of Solutions to An Elliptic Problem With Singularity and Measure Data”, Electron. J. Differ. Equ., 2019
494. 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
495. 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
496. 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
497. Kirane M., Torebek B.T., “On a Nonlinear Problem of the Breaking Water Waves”, Bull. South Ural State U. Ser.-Math Model Program Comput., 12:2 (2019), 37–46
498. 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
499. 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
500. 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
501. 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
502. Jleli M., Samet B., “Nonexistence Results For Systems of Parabolic Differential Inequalities in 2D Exterior Domains”, Asymptotic Anal., 113:1-2 (2019), 29–49
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