нелинейные эллиптические краевые задачи, бифуркация решений, разрушение решений, нелинейные параболические задачи,
р-лапласиан, проблема Ямабе, решение с компактным носителем,
компактоны, кратные решения, отношение Рэлея, формула Коллатца-Виландта, отношения Рэлея, обратная спектральная задача, метод многообразия Нехари, тождество Похожаева,
Коды УДК:
517.9, 517.95
Основные темы научной работы
существование и единственность решений нелинейных дифференциальных уравнений,
спектральная теория линейных и нелинейных операторов, нахождение ветвей решений нелинейных уравнений в частных производных, вариационные методы исследования нелинейных уравнений, вариационные методы нахождения критических характеристик нелинейных моделей, развитие новых подходов нахождения бифуркаций решений нелинейных уравнений, новые подходы численного анализа критических явлений в нелинейных моделях, математическая физика, построение обобщенной формулы Коллатца-Виландта и обобщенного отношения Рэлея, построение теории оптимальных обратных спектральных задач, вариационные методы исследования специальных классов решений, в том числе решений с компактными носителями и свободными границами, взрывающиеся решения, решений типа основных состояний
Научная биография:
1976–1981гг. — студент механико-математического ф-та МГУ им. М. В. Ломоносова,
1981–1984гг. — аспирант при кафедре дифференциальных уравнений механико-математического ф-та МГУ им. М. В. Ломоносова,
1995–1998 гг. — докторант Математического института им. В. А. Стеклова РАН.
Основные публикации:
Ильясов Я.Ш., “Исчисление бифуркаций методом продолженного функционала”, Функц. анализ и его прил., 41:1 (2007), 23–38
Ya. Ilyasov, A. Ivanov, “Computation of maximal turning points to nonlinear equations by nonsmooth optimization”, Optimization Methods and Software, 31:1 (2016), 1–23 , Taylor & Francis
Jesus Ildefonso Diaz, Jesus Hernandez and Yavdat Ilyasov, “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
Ya. Ilyasov, Yo. Egorov, “Hopf boundary maximum principle violation for semilinear elliptic equations”, Nonlinear Analysis: Theory, Methods & Applications, 72:7–8 (2010), 3346–3355 , Elsevier
Yavdat Ilyasov, “On extreme values of Nehari manifold method via nonlinear Rayleighs Quotient”, Topological Methods in Nonlinear Analysis, 2017, 1-32http://projecteuclid.org/euclid.tmna/1489114818
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
3.
Ya. Il'yasov, “On finding bifurcations for nonvariational elliptic systems by the extended quotients method”, Краевые задачи математической физики и смежные вопросы теории функций. 51, К юбилею Нины Николаевны Уральцевой, Зап. научн. сем. ПОМИ, 536, ПОМИ, СПб., 2024, 140–155;
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}
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
Н. Ф. Валеев, Я. Ш. Ильясов, “Об оптимизационной обратной спектральной задаче для оператора Штурма–Лиувилля с предопределенным частичным следом”, Уфимск. матем. журн., 12:4 (2020), 20–30; 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
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}
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
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
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
19.
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
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.
21.
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
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
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
24.
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
25.
Н. Ф. Валеев, Я. Ш. Ильясов, “Об обратной оптимизационной спектральной проблеме
и соответствующей нелинейной краевой задаче”, Матем. заметки, 104:4 (2018), 621–625; 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
Y. Sh. Ilyasov, N. F. Valeev, “On an inverse spectral problem and a generalized Sturms nodal theorem for nonlinear boundary value problems”, Уфимский математический журнал, 10:4 (2018), 123-129 , arXiv: 1809.00229; Ufa Math. J., 10:4 (2018), 122–128
Я. Ш. Ильясов, “О кривой критических показателей для нелинейных эллиптических уравнений в случае нулевой массы”, Ж. вычисл. матем. и матем. физ., 57:3 (2017), 491–509; 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
Yavdat Ilyasov, “On extreme values of Nehari manifold method via nonlinear Rayleighs Quotient”, Topological Methods in Nonlinear Analysis, 49:2 (2017), 683-714
29.
Я. Ш. Ильясов, Э. Э. Холоднов, “О глобальной неустойчивости решений гиперболических уравнений с нелипшицевой нелинейностью”, Уфимск. матем. журн., 9:4 (2017), 45–54; 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
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
31.
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.
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
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
Ya. Il'yasov, “On critical exponents curve for nonlinear elliptic equations in zero mass case”, 2016, arXiv: 1605.08142
35.
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
Ya. Il'yasov, “On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient”, 2015, arXiv: 1509.08019
37.
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
Ya. Il'yasov, A. Ivanov, “Computation of maximal turning points by a variational approach”, 2014, arXiv: 1404.2810
39.
Vladimir Bobkov, Yavdat Il'yasov, Maximal existence domains of positive solutions for two-parametric systems of elliptic equations, 2014 , 15 pp., arXiv: 1406.5275
40.
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, 51-52http://dfde2014.mi.ras.ru/
41.
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, 189https://www.aimsciences.org/conferences/2014/abstracts-book-finalized-2014-06-10.pdf
42.
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, 148https://www.aimsciences.org/conferences/2014/abstracts-book-finalized-2014-06-10.pdf
2013
43.
А. А. Иванов, Я. Ш. Ильясов, “Нахождение бифуркаций для решений нелинейных уравнений методами квадратичного программирования”, Ж. вычисл. матем. и матем. физ., 53:3 (2013), 350–364
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
45.
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
46.
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
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
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
49.
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
2010
50.
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
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, 89https://aimsciences.org/AIMS-Conference/2010/
2009
53.
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
54.
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
55.
Ya. Il'yasov, Yo. Egorov, “Hopf maximum principle violation for elliptic equations with non-Lipschitz nonlinearity”, 2009, arXiv: 0901.4191
2008
56.
Ya. Il'yasov, “A duality principle corresponding to the parabolic equations”, Physica D: Nonlinear Phenomena, 237:5 (2008), 692–698 , Elsevier
Я. Ш. Ильясов, “Исчисление бифуркаций методом продолженного функционала”, Функц. анализ и его прил., 41:1 (2007), 23–38; Ya. Sh. Il'yasov, “Bifurcation Calculus by the Extended Functional Method”, Funct. Anal. Appl., 41:1 (2007), 18–30
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
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
60.
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
61.
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
Yu. V. Egorov, Ya. Sh. Il'yasov, “On multiple solutions of the Yamabe problem”, Dokl. Akad. Nauk, 409:1 (2006), 19–21
2005
63.
Я. Ш. Ильясов, “О глобальных положительных решениях параболических уравнений с неопределенным знаком нелинейности”, Дифференц. уравнения, 41:4 (2005), 518–526; Ya. Sh. Il'yasov, “On Global Positive Solutions of Parabolic Equations with a Sign-Indefinite Nonlinearity”, Differ. Equ., 41:4 (2005), 548–556
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
65.
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
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
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
71.
Ya. Sh. Il'yasov, “The fibering method”, Nonlinear analysis and nonlinear differential equations (ussian), FizMatLit, Moscow, 2003, 197–243
72.
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
73.
Ya. Sh. Il'yasov, “On nonlocal investigations of families of elliptic equations with convex-concave nonlinearities”, Dokl. Akad. Nauk, 392:5 (2003), 603–605
2002
74.
Я. Ш. Ильясов, “Тождество Похожаева и метод расслоений”, Дифференц. уравнения, 38:10 (2002), 1365–1370; Ya. Sh. Il'yasov, “The Pokhozhaev Identity and the Fibering Method”, Differ. Equ., 38:10 (2002), 1453–1459
75.
Я. Ш. Ильясов, “Нелокальные исследования бифуркаций решений нелинейных эллиптических уравнений”, Изв. РАН. Сер. матем., 66:6 (2002), 19–48; Ya. Sh. Il'yasov, “Non-local investigation of bifurcations of solutions of non-linear elliptic equations”, Izv. Math., 66:6 (2002), 1103–1130
Я. Ш. Ильясов, “О процедуре проективного расслоения функционалов над банаховыми пространствами”, Функциональные пространства, гармонический анализ, дифференциальные уравнения, Сборник статей. К 95-летию со дня рождения академика Сергея Михайловича Никольского, Тр. МИАН, 232, Наука, М., 2001, 156–163; Ya. Sh. Il'yasov, “On a Procedure of Projective Fibering of Functionals on Banach Spaces”, Proc. Steklov Inst. Math., 232 (2001), 150–156
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
78.
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
2000
79.
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
80.
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
81.
Ильясов, Явдат Шавкатович., Нелокальные исследования бифуркаций для семейств нелинейных эллиптических уравнений, Дисс.докт. физ.-матем. наук : 01.01.02, Башкирский государственный университет, Уфа, 2000 , 272 с. http://search.rsl.ru/ru/record/01000322255
1999
82.
Я. Ш. Ильясов, “О существовании конформно-эквивалентных метрик для римановых многообразий с краем”, Дифференц. уравнения, 35:3 (1999), 334–339; Ya. Sh. Il'yasov, “On the existence of conformally equivalent metrics for Riemannian manifolds with boundary”, Differ. Equ., 35:3 (1999), 335–340
83.
Я. Ш. Ильясов, “Об одном необходимом условии существования положительных решений для класса уравнений с $p$-Лапласом”, Матем. заметки, 66:2 (1999), 312–314; 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
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
Я. Ш. Ильясов, “Об асимптотике решений полулинейных эллиптических уравнений вблизи первого собственного значения невозмущенной задачи”, Матем. заметки, 64:4 (1998), 543–548; 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
Я. Ш. Ильясов, “О многообразии решений полулинейных эллиптических уравнений, удовлетворяющих тождеству Похожаева. II”, Дифференц. уравнения, 33:12 (1997), 1670–1675; 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
88.
Я. Ш. Ильясов, “Функционал Эйлера для уравнений с $P$-лапласианом как функция спектрального параметра”, Исследования по теории дифференцируемых функций многих переменных и ее приложениям. Часть 17, Сборник статей, Тр. МИАН, 214, Наука, М., 1997, 182–193; 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
Я. Ш. Ильясов, “О многообразии решений полулинейных эллиптических уравнений, удовлетворяющих тождеству Похожаева. I”, Дифференц. уравнения, 32:8 (1996), 1063–1070; 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
1995
90.
Я. Ш. Ильясов, “О периодических нетривиальных решениях уравнений $-\Delta u=g(u)$ в $\mathbb R^{N+1}$”, Изв. РАН. Сер. матем., 59:1 (1995), 103–120; 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
Я. Ш. Ильясов, “Об одном уравнении, возникающем при исследовании “основных решений” полулинейных эллиптических уравнений”, Матем. заметки, 58:3 (1995), 461–464; Ya. Sh. Il'yasov, “An equation that arises in studying ground state solutions to semilinear elliptic equations”, Math. Notes, 58:3 (1995), 996–1000
92.
Я. Ш. Ильясов, “О функции действия на многообразии основных состояний”, ТМФ, 105:3 (1995), 438–449; Ya. Sh. Il'yasov, “On function of action on the manifold of ground state solutions”, Theoret. and Math. Phys., 105:3 (1995), 1546–1555
93.
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
94.
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
1994
95.
Я. Ш. Ильясов, “О некоторой аппроксимации решений типа “ground state” уравнений $-\Delta u=g(u)$ в $\mathrm R^{N+1}$”, Дифференц. уравнения, 30:4 (1994), 621–629; 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
Я. Ш. Ильясов, “О существовании периодических решений полулинейных эллиптических уравнений”, Матем. сб., 184:6 (1993), 67–82; Ya. Sh. Il'yasov, “On the existence of periodic solutions of semilinear elliptic equations”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 167–178
Ya. Sh. Il'yasov, “Existence of periodic nonnegative solutions of the equations $-\!\Delta u=g(u)$ in $R\sp {N+1}$”, Dokl. Akad. Nauk, 332:2 (1993), 149–151; 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
1990
98.
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2024
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