Výsledky vyhledávání - "Boyan Sirakov"

A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space

Autor: Louis Dupaigne, Boyan Sirakov, Philippe Souplet

Publikováno v: International Mathematics Research Notices. 2022:9024-9043

We prove that the Dirichlet problem for the Lane–Emden equation in a half-space has no positive solution that is monotone in the normal direction. As a consequence, this problem does not admit any positive classical solution that is bounded on fini

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1525d32704657882daa9087822b087b9
https://doi.org/10.1093/imrn/rnaa392

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A priori estimates and multiplicity for systems of elliptic PDE with natural gradient growth

Autor: Boyan Sirakov, Delia Schiera, Gabrielle Nornberg

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We consider fully nonlinear uniformly elliptic cooperative systems with quadratic growth in the gradient, such as $$ -F_i(x, u_i, Du_i, D^2 u_i)- \langle M_i(x)D u_i, D u_i \rangle =\lambda c_{i1}(x) u_1 + \cdots + \lambda c_{in}(x) u_n +h_i(x), $$ f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfbce338112299148b6195f2abeddaff
https://doi.org/10.3934/dcds.2020128

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A priori bounds and multiplicity for fully nonlinear equations with quadratic growth in the gradient

Autor: Boyan Sirakov, Gabrielle Nornberg

Publikováno v: Journal of Functional Analysis. 276:1806-1852

We consider fully nonlinear uniformly elliptic equations with quadratic growth in the gradient, such as $$ -F(x,u,Du,D^2u) =\lambda c(x)u+\langle M(x)D u, D u \rangle +h(x) $$ in a bounded domain with a Dirichlet boundary condition, here $\lambda \in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6376c7676c88c36446425c90102d8742
https://doi.org/10.1016/j.jfa.2018.06.017

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The V\'azquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients

Autor: Boyan Sirakov, Philippe Souplet

We develop a new, unified approach to the following two classical questions on elliptic PDE: the strong maximum principle for equations with non-Lipschitz nonlinearities, and the at most exponential decay of solutions in the whole space or exterior d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2419cb9e003316cc4d9a6fd912e8262f
http://arxiv.org/abs/2010.08511

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Results of Ambrosetti–Prodi type for non-selfadjoint elliptic operators

Autor: Boyan Sirakov, André Zaccur, Carlos Tomei

Publikováno v: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 35:1757-1772

The well-known Ambrosetti–Prodi theorem considers perturbations of the Dirichlet Laplacian by a nonlinear function whose derivative jumps over the principal eigenvalue of the operator. Various extensions of this landmark result were obtained for se

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::082ec0a3923c17c2efb495d20078c07c
https://doi.org/10.1016/j.anihpc.2018.03.001

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