Yavdat Shavkatovich Ilyasov

Pós-doutorado

Idiomas

Orientou

Produções bibliográficas

• BOBKOV, VLADIMIR ; DRÁBEK, PAVEL ; ILYASOV, YAVDAT . On full Zakharov equation and its approximations. PHYSICA D-NONLINEAR PHENOMENA , v. 401, p. 132168, 2020.

• SALAZAR, PABLO DANIEL PAZ ; ILYASOV, YAVDAT ; ALBERTO, LUIS FERNANDO COSTA ; COSTA, EDUARDO COELHO MARQUES ; SALLES, MAURICIO B. C. . Saddle-Node Bifurcations of Power Systems in the Context of Variational Theory and Nonsmooth Optimization. IEEE Access , v. 8, p. 110986-110993, 2020.

• BOBKOV, VLADIMIR ; DRÁBEK, PAVEL ; ILYASOV, YAVDAT . Estimates on the spectral interval of validity of the anti-maximum principle. JOURNAL OF DIFFERENTIAL EQUATIONS , v. 269, p. 2956-2976, 2020.

• DÍAZ, J.I. ; HERNÁNDEZ, J. ; ILYASOV, Y.SH. . On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets. ADVANCES IN NONLINEAR ANALYSIS , v. 9, p. 1046-1065, 2019.

• BOBKOV, V. ; DRÁBEK, P. ; ILYASOV, Y. . On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities. APPLIED MATHEMATICS LETTERS , v. 95, p. 23-28, 2019.

• ILYASOV, Y.SH. ; VALEEV, N.F. . On nonlinear boundary value problem corresponding to N-dimensional inverse spectral problem. JOURNAL OF DIFFERENTIAL EQUATIONS , v. 266, p. 4533-4543, 2019.

• IL'YASOV, YAVDAT SHAVKATOVICH ; VALEEV, NURMUKHAMET FUATOVICH . On inverse spectral problem and generalized Sturm nodal theorem for nonlinear boundary value problems. Ufimskii Matematicheskii ZhurnalUfa Mathematical Journal , v. 10, p. 122-128, 2018.

• VALEEV, N. F. ; IL?YASOV, YA. SH. . On an Inverse Optimization Spectral Problem and a Corresponding Nonlinear Boundary-Value Problem. MATHEMATICAL NOTES , v. 104, p. 601-605, 2018.

• '''''', '''''''''' '''''''' ; VALEEV, NURMUKHAMET FUATOVICH ; ''''''', ''''' '''''''''' ; IL'YASOV, YAVDAT SHAVKATOVICH . -- -------- --------------- ------------ --------- --------------- ---------- ------- ------On an Inverse Optimization Spectral Problem and a Corresponding Nonlinear Boundary-Value Problem. Matematicheskie Zametki , v. 104, p. 621-625, 2018.

• IL?YASOV, YA. SH. . On the curve of critical exponents for nonlinear elliptic problems in the case of a zero mass. Computational Mathematics and Mathematical Physics , v. 57, p. 497-514, 2017.

• DÍAZ, JESÚS ILDEFONSO ; HERNÁNDEZ, JESÚS ; IL?YASOV, YAVDAT . Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for N 3. CHINESE ANNALS OF MATHEMATICS SERIES B , v. 38, p. 345-378, 2017.

• IL'YASOV, YAVDAT SHAVKATOVICH ; KHOLODNOV, EMIL EDUARDOVICH . On global instability of solutions to hyperbolic equations with non-Lipschitz nonlinearity. Ufimskii Matematicheskii ZhurnalUfa Mathematical Journal , v. 9, p. 44-53, 2017.

• ILYASOV, YAVDAT . Bifurcation and blow-up results for equations with p-Laplacian and convex-concave nonlinearity. Electronic Journal of Qualitative Theory of Differential Equations , v. 1, p. 1-13, 2017.

• 2016 IL?YASOV, YAVDAT . Maximal existence domains of positive solutions for two-parametric systems of elliptic equations. Complex Variables and Elliptic Equations , v. 61, p. 587-607, 2016.

• IL'YASOV, YAVDAT ; IVANOV, ALEKSANDR . Computation of maximal turning points to nonlinear equations by nonsmooth optimization. OPTIMIZATION METHODS & SOFTWARE , v. 31, p. 1-23, 2016.

• IL'YASOV, YAVDAT . On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient. Topological Methods in Nonlinear Analysis , v. 48, p. 1, 2016.

• DÍAZ, JESÚS ILDEFONSO ; HERNÁNDEZ, JESÚS ; IL?YASOV, YAVDAT . 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 , v. 119, p. 484-500, 2015.

• IL'Yasov, Yavdat. ; BOBKOV, VLADIMIR . Asymptotic behavior of branches for ground states of elliptic systems. Electronic Journal of Differential Equations , v. 2013, p. 1-21, 2013.

• IL'YASOV, YAVDAT SH. ; TAKÁ . Optimal , v. 252, p. 2792-2822, 2012.

• IL'YASOV, Y. . On critical exponent for an elliptic equation with non-lipschitz nonlinearity. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS , v. 1, p. 698-706, 2011.

• IL'YASOV, YAVDAT ; RUNST, THOMAS . Positive solutions of indefinite equations with -Laplacian and supercritical nonlinearity. Complex Variables and Elliptic Equations , v. 56, p. 945-954, 2011.

• IL'YASOV, YAVDAT ; RUNST, THOMAS . An anti-maximum principle for degenerate elliptic boundary value problems with indefinite weights. Complex Variables and Elliptic Equations , v. 55, p. 897-910, 2010.

• IL?YASOV, YAVDAT ; EGOROV, YOURI . Hopf boundary maximum principle violation for semilinear elliptic equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , v. 72, p. 3346-3355, 2010.

• IL?YASOV, YAVDAT ; RUNST, THOMAS ; YOUSSFI, ABDELLAH . On the existence of pair positive-negative solutions for resonance problems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , v. 70, p. 3461-3471, 2009.

• IL?YASOV, YAVDAT . A duality principle corresponding to the parabolic equations. PHYSICA D-NONLINEAR PHENOMENA , v. 237, p. 692-698, 2008.

• EGOROV, YOURI V. ; IL?YASOV, YAVDAT . On conformal invariants for elliptic systems with multiple critical exponents. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY , v. 32, p. 39-66, 2007.

• IL?YASOV, YA. SH. . Bifurcation calculus by the extended functional method. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS , v. 41, p. 18-30, 2007.

• IL'YASOV, YA. SH. ; EGOROV, YOURI V. . On multiple solutions of the Yamabe problem. DOKLADY AKADEMII NAUK. ROSSIJSKAA AKADEMIA NAUK , v. 409, p. 19-21, 2006.

• IL'YASOV, Y. ; CHERFILS, L. . On the stationary solutions of generalized reaction diffusion equations with $p& q$-Laplacian. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , v. 4, p. 9-22, 2005.

• IL?YASOV, YAVDAT . On nonlocal existence results for elliptic equations with convex-concave nonlinearities. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , v. 61, p. 211-236, 2005.

• IL?YASOV, YAVDAT ; RUNST, THOMAS . On nonlocal calculation for inhomogeneous indefinite Neumann boundary value problems. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS , v. 22, p. 101-127, 2005.

• IL'YASOV, YA. SH. . Minimax values and parabolic equations with a sign changing nonlinearity. DOKLADY AKADEMII NAUK. ROSSIJSKAA AKADEMIA NAUK , v. 405, p. 166-168, 2005.

• IL?YASOV, YA. SH. . On Global Positive Solutions of Parabolic Equations with a Sign-Indefinite Nonlinearity. DIFFERENTIAL EQUATIONS , v. 41, p. 548-556, 2005.

• IL'YASOV, YAVDAT ; SARI, NADIR . Solutions of minimal period for a Hamiltonian system with a changing sign potential. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , v. 4, p. 175-185, 2005.

• IL'YASOV, YAVDAT ; RUNST, THOMAS . On positive solutions of indefinite inhomogeneous Neumann boundary value problems. Topological Methods in Nonlinear Analysis , v. 24, p. 41, 2004.

• IL'YASOV, YAVDAT . On positive solutions of indefinite elliptic equations. Comptes Rendus de l'Académie des Sciences. Série 1, Mathématique (Cessou em 2001. Cont. ISSN 1631-073X Comptes Rendus. Mathématique) , v. 333, p. 533-538, 2001.

• IL'YASOV, YA. SH. . On a procedure for the projective fibering of functionals over Banach spaces. Proceedings of the Steklov Institute of Mathematics , v. 232, p. 150-156, 2001.

• IL'YASOV, YA. SH. . On the existence of multiple positive solutions for a class of nonlinear Neumann boundary value problems. DOKLADY AKADEMII NAUK. ROSSIJSKAA AKADEMIA NAUK , v. 376, p. 300-302, 2001.

• IL'YASOV, YAVDAT . Action as function of period for ground states of semilinear elliptic equations. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS , v. 7, p. 369-387, 2000.

• IL'YASOV, YA. SH. . A theorem on the absence of positive solutions for semilinear elliptic equations. DOKLADY AKADEMII NAUK. ROSSIJSKAA AKADEMIA NAUK , v. 364, p. 11-13, 1999.

• IL?YASOV, YA. SH. . On a condition necessary for the existence of positive solutions to a class of equations withp-Laplace operator. MATHEMATICAL NOTES , v. 66, p. 249-251, 1999.

• RUNST, THOMAS ; IL'YASOV, YAVDAT . On equations of the type $Au = g(x,u,Du)$ with degenerate and nonlinear boundary conditions. Tsukuba Journal of Mathematics , v. 23, p. 505-528, 1999.

• IL?YASOV, YA. SH. . On the existence of conformally equivalent metrics for Riemannian manifolds with boundary. DIFFERENTIAL EQUATIONS , v. 35, p. 335-340, 1999.

• IL?YASOV, YA. SH. . On the manifold of solutions of semilinear elliptic equations satisfying the Pokhozhaev identity. II. DIFFERENTIAL EQUATIONS , v. 33, p. 1673-1678, 1998.

• IL'YASOV, YA. SH. . On asymptotics of solutions to semilinear elliptic equations near the first eigenvalue of the nonperturbed problem. MATHEMATICAL NOTES , v. 64, p. 471-475, 1998.

• IL'YASOV, YA. SH. . The Euler functional for equations with the {$p$}-{L}aplacian as a function of a spectral parameter. Trudy Matematicheskogo Instituta. Steklova , v. 214, p. 182-193, 1997.

• IL?YASOV, YA. SH. . On the manifold of solutions of semilinear elliptic equations satisfying the Pokhozhaev identity. I. DIFFERENTIAL EQUATIONS , v. 32, p. 1067-1074, 1996.

• IL'YASOV, YA SH . On periodic non-trivial solutions of the equation $ -Delta u=g(u)$ in $ mathbb R^{N+1}$. IZVESTIYA MATHEMATICS , v. 59, p. 101-119, 1995.

• IL'YASOV, YA. SH. . On the manifold of solutions of 'ground state'' type of semilinear elliptic equations. DOKLADY AKADEMII NAUK. ROSSIJSKAA AKADEMIA NAUK , v. 342, p. 452-454, 1995.

• IL'YASOV, YA. SH. . On existence and non-existence of periodic solutions for the equations {$-\Delta u=g(u)$} in {$\bold R^{N+1}$}}. DYNAMIC SYSTEMS AND APPLICATIONS , v. 4, p. 529-548, 1995.

• IL'YASOV, YA. SH. . An equation that arises in studying ground state solutions to semilinear elliptic equations. MATHEMATICAL NOTES , v. 58, p. 996-1000, 1995.

• IL'YASOV, YA. SH. . On the function of action on a manifold of ground state solutions. THEORETICAL AND MATHEMATICAL PHYSICS , v. 105, p. 1546-1555, 1995.

• IL'YASOV, YA SH . ON THE EXISTENCE OF PERIODIC SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS. SBORNIK MATHEMATICS , v. 79, p. 167-178, 1994.

• IL?YASOV, YA. SH. . An approximation of solutions of 'ground state'' type of the equations u=g(u) in RN+1. DIFFERENTIAL EQUATIONS , v. 30, p. 570-579, 1994.

• IL'YASOV, YA. SH. . Existence of periodic nonnegative solutions of the equations $-\Delta u=g(u)$. DOKLADY AKADEMII NAUK. ROSSIJSKAA AKADEMIA NAUK , v. 332, p. 149-151, 1993.

• IL'YASOV, YA. SH. ; KOMECH, A. I. . Girsanov's theorem and ergodic properties of statistical solutions of nonlinear parabolic equations. Journal of Soviet Mathematics , v. 47, p. 2547-2569, 1989.

• IL'YASOV, YAVDAT . ON CALCULATION OF THE BIFURCATIONS BY THE FIBERING APPROACH. Harmonic, Wavelet and P-Adic Analysis. 2ed.: WORLD SCIENTIFIC, 2007, v. , p. 141-155.

• IL'YASOV, YAVDAT . ON CALCULATION OF THE BIFURCATIONS BY THE FIBERING APPROACH. Harmonic, Wavelet and P-Adic Analysis. 1ed.: WORLD SCIENTIFIC, 2007, v. , p. 141-155.

• IL'YASOV, YA. SH. . The fibering method. Nonlinear analysis and nonlinear differential equations. 1ed.Moscow: FizMatLit, Moscow, 2003, v. , p. 197-243.

• IL'Yasov, Yavdat. ; RUNST, THOMAS . Nonlocal Investigations of Inhomogeneous Indefinite Elliptic Equations via Variational Methods. In: Haroske, Dorothee, Runst, Thomas, Schmeisser, Hans-Jürgen. (Org.). Function Spaces, Differential Operators and Nonlinear Analysis. 1ed.Alemanha: Birkhäuser Basel, 2003, v. , p. 341-352.

• CARVALHO, M.L.N ; ILYASOV, YAVDAT ; SANTOS, C. A. P. . Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients. Topological Methods in Nonlinear Analysis , 2021.

• ILYASOV, YAVDAT . Finding Saddle-Node Bifurcations via a Nonlinear Generalized Collatz-Wielandt Formula. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2021.

• ILYASOV, YAVDAT ; SILVA, KAYE . On branches of positive solutions for p-Laplacian problems at the extreme value of Nehari manifold method. AMERICAN MATHEMATICAL SOCIETY. PROCEEDINGS , 2017.

Projetos de pesquisa

• 2017 - Atual

  Solvabilidade de equações diferenciais não lineares e equações integro-diferenciais para valores críticos de parâmetros, Descrição: O projeto visa o desenvolvimento da teoria de existência de soluções para equações diferenciais não lineares e equações integro-diferenciais. A pesquisa focará em equações no conjunto crítico de parâmetros, que são definidos como os valores one o problema sofre uma mudança abrupta de suas propriedade qualitativas. A investigação de problemas nos parâmetros críticos é particularmente difícil e requer o desenvolvimento de novos métodos. O projeto envolve a investigação de problems abertos para equações particulares e o desenvolvimento de uma teoria geral de existência para equações não lineares nos parâmetros críticos, assim como métodos de detectar tais valores. O projeto é baseado em uma forte cooperação entre dois grupos de especialistas em análise não linear: o grupo de St. Petersburg e o grupo de Ufa. Ao longo dos anos ambos os grupos vem conduzindo pesquisas nos tópicos deste projeto. O grupo de Ufa possui desenvolvimentos significantes em métodos para encontrar parâmetros críticos de equações não lineares, enquanto o grupo de St. Petersburg's group possui uma extensa experiência em resolvers tais problems nos parâmetros críticos.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Doutorado: (1) . , Integrantes: Yavdat Shavkatovich Ilyasov - Coordenador / BOBKOV, VLADIMIR - Integrante / Alexander Nazarov - Integrante / Nikita Ustinov - Integrante / Emil Kholodnov - Integrante.

Projetos de desenvolvimento

• 1989 - 1991

  Study of acoustic waves in a coal layer, Descrição: Mathematical modeling and optimization of the catalytic process. , Situação: Concluído; Natureza: Desenvolvimento. , Integrantes: Yavdat Il'yasov - Coordenador.

• 1989 - 1991

  Study of acoustic waves in a coal layer, Descrição: Mathematical modeling and optimization of the catalytic process. , Situação: Concluído; Natureza: Desenvolvimento.

• 1989 - 1991

  Study of acoustic waves in a coal layer, Descrição: Mathematical modeling and optimization of the catalytic process. , Situação: Concluído; Natureza: Desenvolvimento. , Integrantes: Yavdat Shavkatovich Ilyasov - Coordenador.

• 1989 - 1991

  Study of acoustic waves in a coal layer, Descrição: Mathematical modeling and optimization of the catalytic process. , Situação: Concluído; Natureza: Desenvolvimento. , Integrantes: Yavdat Shavkatovich Ilyasov - Coordenador.