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Ilyasov, Yavdat Shavkatovich

Total publications: 101 (101)
in MathSciNet: 66 (66)
in zbMATH: 38 (38)
in Web of Science: 44 (44)
in Scopus: 35 (35)
Cited articles: 47
Citations: 498
Presentations: 4

Number of views:
This page:4608
Abstract pages:6058
Full texts:2329
References:726
Professor
Doctor of physico-mathematical sciences (2000)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 10.02.1959
E-mail:
Website: https://matem.anrb.ru
Keywords: nonlinear elliptic boundary value problems, bifurcations of solutions, blow-up solutions, nonlinear parabolic problems, p-Laplacian, Yamabe problem, compactons, Rayleigh quotient, Collatz-Wielandt formula
UDC: 517.9, 517.95

Subject:

existence and uniqueness of solutions of nonlinear differential equations, spectral theory of linear and nonlinear operators, finding branches of solutions of nonlinear partial differential equations, development of variational methods for studying nonlinear equations, development variational methods for finding critical characteristics of nonlinear models, development of new approaches for finding bifurcations of solutions of nonlinear equations, development of new approaches for the numerical analysis of critical phenomena in nonlinear models , mathematical physics, construction of a generalized Collatz-Wielandt formula and a generalized Rayleigh quotient for nonlinear problems, development of the theory of optimal inverse spectral problems, development of variational methods for studying special classes of solutions, including solutions with compact supports and free boundaries, blow-up solutions, ground states

Biography

1976–1981: undergraduate course at the Lomonosov Moscow State University, Faculty of Mechanics and Mathematics,
1981–1985: PhD course at the Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Department of Differential Equations,
1997–1999: Research Fellow (Doctorant), Steklov Mathematical Institute, Moscow.

   
Main publications:
  1. Ilyasov Y.Sh., “Bifurcation calculus by the extended functional method”, Funct. Anal. Appl., 41:1 (2007), 18–30  crossref  mathscinet  zmath
  2. Ilyasov Y., “A duality principle corresponding to the parabolic equations”, Physica D, 237:5 (2008), 692–698  crossref  mathscinet  adsnasa
  3. Ilyasov Y., “On nonlocal existence results for elliptic equations with convex-concave nonlinearities”, Nonlinear Analysis, 61:1-2 (2005), 211–236  crossref  mathscinet  zmath
  4. Ilyasov Y., Runst T., “On nonlocal calculation for inhomogeneous indefinite Neumann boundary value problems”, Calculus Var. & Part. Diff. Eq., 22:1 (2005), 101–127  crossref  mathscinet  zmath
  5. Ilyasov Y., “On positive solutions of indefinite elliptic equations”, C. R. Acad. Sci. Paris S\er. I Math., 333:6 (2001), 533–538  crossref  mathscinet  zmath  adsnasa

https://www.mathnet.ru/eng/person8765
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:ilyasov.yavdat-sh
https://mathscinet.ams.org/mathscinet/MRAuthorID/233622
https://orcid.org/0000-0002-6310-9164
https://www.researchgate.net/profile/Yavdat_Ilyasov2
https://arxiv.org/a/Yavdat Ilyasov

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. Yavdat Il'yasov, “A finding of the maximal saddle-node bifurcation for systems of differential equations”, Journal of Differential Equations, 378 (2024), 610-625 https://www.sciencedirect.com/science/article/abs/pii/S0022039623006691, arXiv: arXiv e-prints, pp.arXiv-2303.}{arXiv e-prints, pp.arXiv-2303.}  crossref 2
2. Jacques Giacomoni, Yavdat Il'yasov, Deepak Kumar, “On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity”, Asymptotic Analysis, 2024 (to appear) , arXiv: arXiv:2202.12522, 2022  crossref

   2023
3. Rémi Carles, Yavdat Il'yasov, “On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential”, Studies in Applied Mathematics, 150:1 (2023), 92-118 https://onlinelibrary.wiley.com/share/SGIDPAE3B4R8IJS7EVVZ?target=10.1111/sapm.12534, arXiv: arXiv:2110.06576, 2021  crossref 2
4. Yavdat Il'yasov, Edcarlos Domingos da Silva, Maxwell Lizete da Silva, “Prescribed energy saddle-point solutions of nonlinear indefinite problems”, Electronic Journal of Differential Equations,, pp.1-11., 23 (2023), 1-11 https://hdl.handle.net/10877/16858

   2022
5. Ya Sh Il'yasov, AB Muravnik, “Min-Max Principles with Nonlinear Generalized Rayleigh Quotients for Nonlinear Equations”, Journal of Mathematical Sciences, 260:6 (2022), 738-747 https://link.springer.com/article/10.1007/s10958-022-05732-z  crossref 2
6. Y. Il'yasov, “Rayleigh quotients of the level set manifolds related to the nonlinear PDE”, Minimax Theory and its Applications, 7:2 (2022), 277–302 https://www.heldermann.de/MTA/MTA07/MTA072/mta07012.htm
7. Marcos Leandro Carvalho, Yavdat Il'yasov, Carlos Alberto Santos, “Existence of S-shaped type bifurcation curve with dual cusp catastrophe via variational methods”, Journal of Differential Equations, 334 (2022), 256-279 https://www.sciencedirect.com/science/article/abs/pii/S0022039622003898, arXiv: https://arxiv.org/pdf/2112.02329.pdf  crossref 3

   2021
8. Y. Ilyasov, “Finding Saddle-Node Bifurcations via a Nonlinear Generalized Collatz–Wielandt Formula”, International Journal of Bifurcation and Chaos, 31:1 (2021) , 9 pp. 10.1142/S0218127421500085, arXiv: arXiv:2003.12556, 2020}{arXiv:2003.12556, 2020}  crossref  mathscinet  isi  scopus 1
9. Yavdat Ilyasov, Nur Valeev, “Recovery of the nearest potential field from the m observed eigenvalues”, Physica D: Nonlinear Phenomena, 426 (2021) , 5 pp. 10.1016/j.physd.2021.132985  crossref  isi  scopus 9
10. Y. Ilyasov, On orbital stability of the physical ground states of the NLS equations, 2021 (Published online) , 21 pp., arXiv: 2103.16353
11. Yavdat Ilyasov, Rayleigh quotients of the level set manifolds related to the nonlinear PDE, 2021 (to appear) , 20 pp., arXiv: 2108.00891
12. Ya Sh Il’yasov, “Fundamental frequency solutions with prescribed action value to nonlinear Schrödinger equations”, Journal of Mathematical Sciences, 259:2 (2021), 187-204 https://link.springer.com/article/10.1007/s10958-021-05610-0#citeas  crossref 4

   2020
13. N. F. Valeev, Y. Sh. Ilyasov, “Inverse spectral problem for Sturm–Liouville operator with prescribed partial trace”, Ufa Math. J., 12:4 (2020), 19–29  mathnet  crossref  mathscinet  isi  scopus
14. V.Bobkov, P. Drábek, Y. Ilyasov,, “Estimates on the spectral interval of validity of the anti-maximum principle Journal of Differential Equations”, Journal of Differential Equations, 269:7 (2020) , 20 pp. 10.1016/j.jde.2020.02.020, arXiv: arXiv:1807.06804, 2018}{arXiv:1807.06804, 2018}  crossref  mathscinet  isi  scopus 1
15. Salazar, Pablo Daniel Paz, Yavdat Ilyasov, Luís Fernando Costa Alberto, Eduardo Coelho Marques Costa, and Mauricio BC Salles., “Saddle-Node Bifurcations of Power Systems in the Context of Variational Theory and Nonsmooth Optimization”, IEEE Access, 8 (2020) , 7 pp. 10.1109/ACCESS.2020.3002840  crossref  isi  scopus 10
16. J.I. Díaz, J. Hernández, and Y.S. Ilyasov, ,, “On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of star-shaped sets.”, Advances in Nonlinear Analysis, 9:1 (2020) , 19 pp. 10.1515/anona-2020-0030  crossref  isi  scopus 11
17. Marcos LM Carvalho, Yavdat Sh Ilyasov, Carlos Alberto Santos, Separating of critical points on the Nehari manifold via the nonlinear generalized Rayleigh quotients, 2020 (to appear) , 18 pp., arXiv: 1906.07759

   2019
18. Y, Sh. Ilyasov, N. F. Valeev, “On nonlinear boundary value problem corresponding to N-dimensional inverse spectral problem”, Journal of Differential Equations, 266:8 (2019), 4533-4543 , arXiv: 1803.01495  crossref  mathscinet  zmath  adsnasa  isi  scopus 17
19. Vladimir Bobkov, Pavel Drabek, Yavdat Ilyasov, “On full Zakharov equation and its approximations”, Physica D: Nonlinear Phenomena, 8:23 (2019), 132-168 (Published online) , arXiv: 1801.00803.  crossref  isi  scopus
20. Vladimir Bobkov, Pavel Drábek, Yavdat Ilyasov, “On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities”, Applied Mathematics Letters, 95 (2019), 23-28 , arXiv: 1812.08018  crossref  mathscinet  isi  scopus 1
21. J. I. Díaz, J. Hernández, Y. Sh. Ilyasov, “On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets”, Advances in Nonlinear Analysis, 9:1 (2019), 1046-1065 , arXiv: 1808.03931  crossref  isi  scopus 11
22. Marcos L. M. Carvalho, Yavdat Sh. Ilyasov, Carlos Alberto Santos, Separating of critical points on the Nehari manifold via the nonlinear generalized Rayleigh quotients, 2019 , 18 pp., arXiv: 1906.07759

   2018
23. Y. Ilyasov; K. Silva, “On branches of positive solutions for p-Laplacian problems at the extreme value of Nehari manifold method”, Proceedings of the American Mathematical Society, 146:7 (2018), 2925–2935 doi.org/10.1090/proc/13972, arXiv: arXiv:1704.02477  mathnet  crossref  mathscinet  isi  scopus
24. N. F. Valeev, Ya. Sh. Il'yasov, “On an Inverse Optimization Spectral Problem and a Corresponding Nonlinear Boundary-Value Problem”, Math. Notes, 104:4 (2018), 601–605  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
25. Ufa Math. J., 10:4 (2018), 122–128  mathnet  crossref  mathscinet  isi  scopus

   2017
26. Ya. Sh. Il'yasov, “On the curve of critical exponents for nonlinear elliptic problems in the case of a zero mass”, Comput. Math. Math. Phys., 57:3 (2017), 497–514  mathnet  crossref  crossref  zmath  isi  elib  scopus
27. Yavdat Ilyasov, “On extreme values of Nehari manifold method via nonlinear Rayleighs Quotient”, Topological Methods in Nonlinear Analysis, 49:2 (2017), 683-714  crossref  mathscinet  zmath
28. Y. Sh. Il'yasov, E. E. Kholodnov, “On global instability of solutions to hyperbolic equations with non-Lipschitz nonlinearity”, Ufa Math. Journal, 9:4 (2017), 44–53  mathnet  crossref  isi  elib  scopus
29. Yavdat Ilyasov, “Bifurcation and blow-up results for equations with $p$-Laplacian and convex-concave nonlinearity”, Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE), 96 (2017), 1-12  crossref  mathscinet  isi  scopus
30. J. I. Díaz, J. Hernández, and Y. Ilyasov., “Stability criteria on flat and compactly supported ground states of some non-Lipschitz autonomous semilinear equations”, Chinese Ann. Math, 38 (2017) (to appear) , 33 pp. 10.1007/s11401-016-1073-2.  crossref  isi  scopus 8

   2016
31. V. Bobkov, Ya. Il'yasov, “Maximal existence domains of positive solutions for two-parametric systems of elliptic equations”, Complex Variables and Elliptic Equations, 61:5 (2016), 587–607 , Taylor & Francis  crossref  mathscinet  isi  scopus 7
32. Ya. Il'yasov, A. Ivanov, “Computation of maximal turning points to nonlinear equations by nonsmooth optimization”, Optimization Methods and Software, 31:1 (2016), 1–23 , Taylor & Francis  crossref  mathscinet  isi  scopus 4
33. Ya. Il'yasov, “On critical exponents curve for nonlinear elliptic equations in zero mass case”, 2016, arXiv: 1605.08142
34. Jesus Ildefonso Diaz, Jesus Hernandez and Yavdat Il'yasov, “Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for $N\geq 3$”, Special Issue of Chinese Annals of Mathematics (CAM) in honour of Haim Brezis., 38B:4 (2016), 1–34  crossref  mathscinet  zmath  isi  scopus 8

   2015
35. Ya. Il'yasov, “On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient”, 2015, arXiv: 1509.08019  zmath
36. J. I. Díaz, J. Hernández, Ya. Il’yasov, “On the existence of positive solutions and solutions with compact support for a spectral nonlinear elliptic problem with strong absorption”, Nonlinear Analysis: Theory, Methods & Applications, 119 (2015), 484–500 , Pergamon  crossref  mathscinet  isi  scopus 14

   2014
37. Ya. Il'yasov, A. Ivanov, “Computation of maximal turning points by a variational approach”, 2014, arXiv: 1404.2810  zmath
38. Vladimir Bobkov, Yavdat Il'yasov, Maximal existence domains of positive solutions for two-parametric systems of elliptic equations, 2014 , 15 pp., arXiv: 1406.5275
39. Ya. Il'yasov, “Pohozaev’s Identity and Compact Supported Solutions”, The Seventh International Conference on Differential and Functional Differential Equation (Peoples’ Friendship University of Russia, Moscow, Russia, August 22–29, 2014), Peoples' Friendship University of Russia,, Moscow, 2014, 51-52 http://dfde2014.mi.ras.ru/
40. Yavdat Ilyasov, “Precise range for stable and blow-up solutions to equations with p-Laplacian and supercritical nonlinearities”, Abstracts Book. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session 44 (Madrid, Spain, July 07 - July 11, 2014), AIMS, 2014, 189 https://www.aimsciences.org/conferences/2014/abstracts-book-finalized-2014-06-10.pdf
41. Yavdat Ilyasov, “A new geometrical concept in the finding bifurcations. Generalized Collatz-Wielandt formula”, Abstracts Book. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session 33 (Madrid, Spain, July 07 - July 11, 2014), AIMS, 2014, 148 https://www.aimsciences.org/conferences/2014/abstracts-book-finalized-2014-06-10.pdf

   2013
42. A. A. Ivanov, Ya. Sh. Il'yasov, “Finding bifurcations for solutions of nonlinear equations by quadratic programming methods”, Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013), 350–364  mathnet  crossref  zmath  elib
43. V. Bobkov, Ya. Il'yasov, “Asymptotic behaviour of branches for ground states of elliptic systems”, Electronic Journal of Differential Equations, 2013:212 (2013), 1–21  mathscinet  zmath  isi
44. Yavdat Il'yasov, “Nehari manifolds and fibering methods. Parametric analysis”, Nonlinear Analysis Plzen 2013 (Pilsen, Czech Republic, August 23-24, 2013), University of West Bohemia, Pilzen, Czech Republic, 2013, 14

   2012
45. Ya. Sh. Il'yasov, P. Taká{\v}, “Optimal $W\sp {2,2}\sb {\rm loc}$-regularity, ohozhaev's identity, and nonexistence of weak solutions to some quasilinear elliptic equations”, J. Differential Equations, 252:3 (2012), 2792–2822  crossref  mathscinet  zmath  adsnasa  isi  scopus 11

   2011
46. Ya. Il'yasov, Th. Runst, “Positive solutions of indefinite equations with p-Laplacian and supercritical nonlinearity”, Complex Variables and Elliptic Equations, 56:10–11 (2011), 945–954 , Taylor & Francis  crossref  mathscinet  isi  scopus 7
47. Ya. Il'yasov, “The method of the extended functional and solvability of elliptic problems with supercritical exponents”, Lecture Notes of 8Th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis (Fsdona–2011),, 2011
48. Ya. Il'yasov, “On critical exponent for an elliptic equation with non-ipschitz nonlinearity”, Discrete Contin. Dyn. Syst., 2011, no. Dynamical Systems, Differential Equations and Applications. 8Th Aims Conference. Suppl. Vol. i, 698–706  mathscinet  zmath

   2010
49. Ya. Il'yasov, Th. Runst, “An anti-maximum principle for degenerate elliptic boundary value problems with indefinite weights”, Complex Variables and Elliptic Equations, 55:8–10 (2010), 897–910 , Taylor & Francis  crossref  mathscinet  isi  scopus 2
50. Ya. Il'yasov, Yo. Egorov, “Hopf boundary maximum principle violation for semilinear elliptic equations”, Nonlinear Analysis: Theory, Methods & Applications, 72:7–8 (2010), 3346–3355 , Elsevier  crossref  mathscinet  isi  scopus 15
51. Yavdat Ilyasov, “Existence of Compactons for Elliptic Equations with Autonomous Nonlinearity”, The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Dresden University of Technology Germany, May 25 - 28, 2010), Dresden University of Technology, 2010, 89 https://aimsciences.org/AIMS-Conference/2010/  mathscinet

   2009
52. Ya. Il'yasov, Th. Runst, A. Youssfi, “On the existence of pair positive–negative solutions for resonance problems”, Nonlinear Analysis: Theory, Methods & Applications, 70:10 (2009), 3461–3471 , Elsevier  crossref  mathscinet  isi  scopus
53. Ya. S. Il'yasov, “Constructive and algorithmic concept of the bifurcations finding to solutions of the nonlinear equations”, International Conference on Interdisciplinary Mathematical and Statistical Techniques, 2009
54. Ya. Il'yasov, Yo. Egorov, “Hopf maximum principle violation for elliptic equations with non-Lipschitz nonlinearity”, 2009, arXiv: 0901.4191

   2008
55. Ya. Il'yasov, “A duality principle corresponding to the parabolic equations”, Physica D: Nonlinear Phenomena, 237:5 (2008), 692–698 , Elsevier  crossref  mathscinet  adsnasa  isi  scopus 5

   2007
56. Ya. Sh. Il'yasov, “Bifurcation Calculus by the Extended Functional Method”, Funct. Anal. Appl., 41:1 (2007), 18–30  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
57. Yo. V. Egorov, Ya. Il'yasov, “On conformal invariants for elliptic systems with multiple critical exponents”, Annals of Global Analysis and Geometry, 32:1 (2007), 39–66 , Kluwer Academic Publishers  crossref  mathscinet  isi  scopus 1
58. Ya. Il'yasov, “Bifurcation Calculus by the Extended Functional Method and Its Applications”, Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems, 2007
59. Yu. V. Egorov, Ya. Il'yasov, “On multiple solutions for elliptic boundary value problem with two critical exponents”, Harmonic, wavelet and $p$-adic analysis, World Sci. Publ., Hackensack, NJ, 2007, 113–139  crossref  mathscinet  zmath  scopus
60. Ya. Il'yasov, “On calculation of the bifurcations by the fibering approach”, Harmonic, wavelet and $p$-adic analysis, World Sci. Publ., Hackensack, NJ, 2007, 141–155  crossref  mathscinet  zmath  scopus 2

   2006
61. Yu. V. Egorov, Ya. Sh. Il'yasov, “On multiple solutions of the Yamabe problem”, Dokl. Akad. Nauk, 409:1 (2006), 19–21  mathnet  mathscinet  zmath

   2005
62. Ya. Sh. Il'yasov, “On Global Positive Solutions of Parabolic Equations with a Sign-Indefinite Nonlinearity”, Differ. Equ., 41:4 (2005), 548–556  mathnet  crossref  mathscinet  elib
63. Ya. Il'yasov, N. Sari, “Solutions of minimal period for a Hamiltonian system with a changing sign potential”, Commun. Pure Appl. Anal, 4:1 (2005), 175–185  crossref  mathscinet  zmath  isi  scopus
64. L. Cherfils, Ya. Il’yasov, “On the stationary solutions of generalized reaction diffusion equations with p&q-Laplacian”, Commun. Pure Appl. Anal, 4:1 (2005), 9–22  crossref  mathscinet  zmath  isi  elib  scopus 215
65. Ya. Il'yasov, “On nonlocal existence results for elliptic equations with convex-concave nonlinearities”, Nonlinear Analysis: Theory, Methods & Applications, 61:1–2 (2005), 211–236 , Elsevier  crossref  mathscinet  isi  scopus 34
66. Ya. Sh. Il'yasov, “Minimax values and parabolic equations with a sign changing nonlinearity”, Dokl. Akad. Nauk, 405:2 (2005), 166–168  mathnet  mathscinet
67. Ya. Il'yasov, Th. Runst, “On nonlocal calculation for inhomogeneous indefinite Neumann boundary value problems”, Calculus of Variations and Partial Differential Equations, 22:1 (2005), 101–127 , Springer  crossref  mathscinet  isi  scopus 7

   2004
68. Ya. Il'yasov, Th. Runst, “On positive solutions of indefinite inhomogeneous Neumann boundary value problems”, Topological Methods in Nonlinear Analysis, 24:1 (2004), 41–67 , Juliusz P. Schauder Centre for Nonlinear Studies  crossref  mathscinet 1

   2003
69. Ya. Il'yasov, Th. Runst, “Positive solutions for indefinite inhomogeneous Neumann elliptic problems”, Electronic Journal of Differential Equations, 2003:57 (2003), 1–21 , Texas State University-San Marcos  mathscinet
70. Ya. Sh. Il'yasov, “The fibering method”, Nonlinear analysis and nonlinear differential equations (ussian), FizMatLit, Moscow, 2003, 197–243  mathscinet  zmath
71. Ya. Il'yasov, Th. Runst, “Nonlocal investigations of inhomogeneous indefinite elliptic equations via variational methods”, Function spaces, differential operators and nonlinear analysis (eistungen, 2001), Birkhäuser, Basel, 2003, 342–352  mathscinet
72. Ya. Sh. Il'yasov, “On nonlocal investigations of families of elliptic equations with convex-concave nonlinearities”, Dokl. Akad. Nauk, 392:5 (2003), 603–605  mathnet  mathscinet  zmath

   2002
73. Ya. Sh. Il'yasov, “The Pokhozhaev Identity and the Fibering Method”, Differ. Equ., 38:10 (2002), 1453–1459  mathnet  crossref  mathscinet
74. Ya. Sh. Il'yasov, “Non-local investigation of bifurcations of solutions of non-linear elliptic equations”, Izv. Math., 66:6 (2002), 1103–1130  mathnet  crossref  crossref  mathscinet  zmath

   2001
75. Ya. Sh. Il'yasov, “On a Procedure of Projective Fibering of Functionals on Banach Spaces”, Proc. Steklov Inst. Math., 232 (2001), 150–156  mathnet  mathscinet  zmath
76. Ya. Il'yasov, “On positive solutions of indefinite elliptic equations”, Comptes Rendus de l'Acad mie des Sciences-Series I-Mathematics, 333:6 (2001), 533–538 , Elsevier  mathscinet  adsnasa  isi
77. Ya. Sh. Il'yasov, T. Runst, “On the existence of multiple positive solutions for a class of nonlinear eumann boundary value problems”, Dokl. Akad. Nauk, 376:3 (2001), 300–302  mathnet  mathscinet  zmath

   2000
78. Ya. Il'yasov, “Action as function of period for ground states of semilinear elliptic equations”, NoDEA Nonlinear Differential Equations Appl., 7:4 (2000), 369–387  crossref  mathscinet  zmath  isi  scopus
79. Ya. Il'yasov, Th. Runst, “Existence and uniqueness theorems for equations of the type $Au(x)=g(x,u,Du)$ with degenerate and nonlinear boundary conditions”, Function spaces, differential operators and nonlinear analysis (udasjärvi, 1999), Acad. Sci. Czech Repub., Prague, 2000, 143–148  mathscinet  zmath
80. Ilyasov, Yavdat Shavkatovich., Nelokalnye issledovaniya bifurkatsii dlya semeistv nelineinykh ellipticheskikh uravnenii, Diss.dokt. fiz.-matem. nauk : 01.01.02, Bashkirskii gosudarstvennyi universitet, Ufa, 2000 , 272 pp. http://search.rsl.ru/ru/record/01000322255

   1999
81. Ya. Sh. Il'yasov, “On the existence of conformally equivalent metrics for Riemannian manifolds with boundary”, Differ. Equ., 35:3 (1999), 335–340  mathnet  mathscinet
82. Ya. Sh. Il'yasov, “On a condition necessary for the existence of positive solutions to a class of equations with $p$-Laplace operator”, Math. Notes, 66:2 (1999), 249–251  mathnet  crossref  crossref  mathscinet  zmath  isi
83. Th. Runst, Ya. Il'yasov, “On equations of the type $Au=g(x,u,Du)$ with degenerate and nonlinear boundary conditions”, Tsukuba J. Math., 23:3 (1999), 505–528  crossref  mathscinet  zmath 1
84. Ya. Sh. Il'yasov, “A theorem on the absence of positive solutions for semilinear elliptic equations”, Dokl. Akad. Nauk, 364:1 (1999), 11–13  mathnet  mathscinet  zmath  isi 1

   1998
85. Ya. Sh. Il'yasov, “On asymptotics of solutions to semilinear elliptic equations near the first eigenvalue of the nonperturbed problem”, Math. Notes, 64:4 (1998), 471–475  mathnet  crossref  crossref  mathscinet  zmath  isi

   1997
86. Ya. Sh. Il'yasov, “On the manifold of solutions of semilinear elliptic equations satisfying the Pokhozhaev identity. II”, Differ. Equ., 33:12 (1997), 1673–1678  mathnet  mathscinet

   1996
87. Ya. Sh. Il'yasov, “The Euler functional for equations with the $p$-Laplacian as a function of a spectral parameter”, Proc. Steklov Inst. Math., 214 (1996), 175–186  mathnet  mathscinet  zmath
88. Ya. Sh. Il'yasov, “On the manifold of solutions of semilinear elliptic equations satisfying the Pokhozhaev identity. I”, Differ. Equ., 32:8 (1996), 1067–1074  mathnet  mathscinet

   1995
89. Ya. Sh. Il'yasov, “On periodic non-trivial solutions of the equation $-\Delta u=g(u)$ in $\mathbb R^{N+1}$”, Izv. Math., 59:1 (1995), 101–119  mathnet  crossref  mathscinet  zmath  isi
90. Ya. Sh. Il'yasov, “An equation that arises in studying ground state solutions to semilinear elliptic equations”, Math. Notes, 58:3 (1995), 996–1000  mathnet  crossref  mathscinet  zmath  isi
91. Ya. Sh. Il'yasov, “On function of action on the manifold of ground state solutions”, Theoret. and Math. Phys., 105:3 (1995), 1546–1555  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib
92. Ya. Sh. Il'yasov, “On existence and non-existence of periodic solutions for the equations $-\Delta u=g(u)$ in $\bold R\sp {N+1}$”, Dynam. Systems Appl., 4:4 (1995), 529–548  mathscinet  zmath
93. Ya. Sh. Il'yasov, “On the manifold of solutions of “ground state” type of semilinear elliptic equations”, Dokl. Akad. Nauk, 342:4 (1995), 452–454  mathnet  mathscinet  zmath  isi

   1994
94. Ya. Sh. Il'yasov, “An approximation of solutions of “ground state” type of the equations $-\Delta u=g(u)$ in $\mathbf R^{N+1}$”, Differ. Equ., 30:4 (1994), 570–579  mathnet  mathscinet
95. Ya. Sh. Il'yasov, “On the existence of periodic solutions of semilinear elliptic equations”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 167–178  mathnet  crossref  mathscinet  zmath  isi
96. Ya. Sh. Ilyasov, “Existence of periodic nonnegative solutions of the equations $-\!\Delta u=g(u)$ in $\mathbb{R}^{N+1}$”, Dokl. Math., 48:2 (1994), 278–281  mathnet  mathscinet  zmath  isi

   1990
97. Y. Sh. Il'yasov, “Non-equilibrium phase transitions in the multicomponent chemical systems”, Unsteady State Processes in Catalysis: Proceedings of the International Conference, Novosibirsk, eds. Yu S. Matros, VSP BV, Zeist, Netherlands, 1990, 123-126

   1988
98. Ilyasov, Yavdat Shavkatovich., Ob asimptoticheskikh razlozheniyakh reshenii kvazilineinykh stokhasticheskikh parabolicheskikh uravnenii, Diss. kand. fiz.-matem. nauk, AN SSSR. Ural. otd-nie. Bashk. nauch. tsentr. In-t matematiki s VTs, Ufa, 1988 , 149 pp. http://search.rsl.ru/ru/record/01008474354  zmath

   1987
99. Ya. Sh. Il'yasov, A. I. Komech, “Girsanov's theorem and ergodic properties of statistical solutions of nonlinear parabolic equations”, Trudy Sem. Petrovsk., 1987, no. 12, 88–117, 243–244  crossref  mathscinet  zmath  scopus

   1986
100. Ya. Sh. Il'yasov, “Asymptotic expansion of solutions of nonlinear stochastic parabolic equations”, Izv. Akad. Nauk Azerbaĭdzhan. SSR Ser. Fiz.-Tekhn. Mat. Nauk, 7:2 (1986), 36–40  mathscinet
101. Ya. Sh. Il'yasov, “Asymptotic expansion of the solutions of nonlinear parabolic equations with a small parameter in the presence of white noise”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1986, no. 3, 101–104, 121  mathnet  mathscinet  mathscinet  zmath  isi

Presentations in Math-Net.Ru
1. ON THE DEGENERATE $(p,q)$-LAPLACE EQUATIONS CORRESPONDING TO AN INVERSE SPECTRAL PROBLEM
Ya. Sh. Ilyasov
Seminar on nonlinear problems of partial differential equations and mathematical physics
March 12, 2024 18:00   
2. ON THE DEGENERATE $(p,q)$-LAPLACE EQUATIONS CORRESPONDING TO AN INVERSE SPECTRAL PROBLEM
Ya. Sh. Ilyasov
Seminar on nonlinear problems of partial differential equations and mathematical physics
February 20, 2024 18:00   
3. A variational approach to finding an $S$-shaped type bifurcation curve with dual cusp catastrophe
Ya. Sh. Ilyasov
V. I. Smirnov Seminar on Mathematical Physics
October 10, 2022 16:30
4. Pohozaev's identity and compact supported solutions
Ya. Sh. Il'yasov
The Seventh International Conference on Differential and Functional Differential Equations
August 24, 2014 16:40   

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