Existence results for Gradient elliptic systems with nonlinear boundary conditions

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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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Autores principales:	Bonder, J.F., Martínez, S., Rossi, J.D.
Formato:	Artículo publishedVersion
Publicado:	2007
Materias:	Elliptic systems Nonlinear boundary conditions Variational problems
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v14_n1-2_p153_Bonder_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_10219722_v14_n1-2_p153_Bonder_oai2024-08-16 Bonder, J.F. Martínez, S. Rossi, J.D. 2007 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Nonlinear Diff. Equ. Appl. 2007;14(1-2):153-179 Elliptic systems Nonlinear boundary conditions Variational problems Existence results for Gradient elliptic systems with nonlinear boundary conditions info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v14_n1-2_p153_Bonder_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
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 https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v14_n1-2_p153_Bonder_oai
work_keys_str_mv	AT bonderjf existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions AT martinezs existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions AT rossijd existenceresultsforgradientellipticsystemswithnonlinearboundaryconditions
_version_	1809357012784381952

Existence results for Gradient elliptic systems with nonlinear boundary conditions

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