Existence results for Gradient elliptic systems with nonlinear boundary conditions
We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). The proofs are done under suitable assumptions on the potential F, and based...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder |
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paperaa:paper_10219722_v14_n1-2_p153_Bonder2023-06-12T16:48:54Z Existence results for Gradient elliptic systems with nonlinear boundary conditions Nonlinear Diff. Equ. Appl. 2007;14(1-2):153-179 Bonder, J.F. Martínez, S. Rossi, J.D. Elliptic systems Nonlinear boundary conditions Variational problems We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). The proofs are done under suitable assumptions on the potential F, and based on variational arguments. Our results include subcritical, resonant and critical growth on F. © 2007 Birkhäuser Verlag. Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
language |
Inglés |
orig_language_str_mv |
eng |
topic |
Elliptic systems Nonlinear boundary conditions Variational problems |
spellingShingle |
Elliptic systems Nonlinear boundary conditions Variational problems Bonder, J.F. Martínez, S. Rossi, J.D. Existence results for Gradient elliptic systems with nonlinear boundary conditions |
topic_facet |
Elliptic systems Nonlinear boundary conditions Variational problems |
description |
We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). The proofs are done under suitable assumptions on the potential F, and based on variational arguments. Our results include subcritical, resonant and critical growth on F. © 2007 Birkhäuser Verlag. |
format |
Artículo Artículo publishedVersion |
author |
Bonder, J.F. Martínez, S. Rossi, J.D. |
author_facet |
Bonder, J.F. Martínez, S. Rossi, J.D. |
author_sort |
Bonder, J.F. |
title |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
title_short |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
title_full |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
title_fullStr |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
title_full_unstemmed |
Existence results for Gradient elliptic systems with nonlinear boundary conditions |
title_sort |
existence results for gradient elliptic systems with nonlinear boundary conditions |
publishDate |
2007 |
url |
http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder |
work_keys_str_mv |
AT bonderjf existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions AT martinezs existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions AT rossijd existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions |
_version_ |
1769810292535984128 |