Existence results for Gradient elliptic systems with nonlinear boundary conditions

Autores
Bonder, J.F.; Martínez, S.; Rossi, J.D.
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fuente
Nonlinear Diff. Equ. Appl. 2007;14(1-2):153-179
Materia
Elliptic systems
Nonlinear boundary conditions
Variational problems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_10219722_v14_n1-2_p153_Bonder
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oai_identifier_str paperaa:paper_10219722_v14_n1-2_p153_Bonder
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repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Existence results for Gradient elliptic systems with nonlinear boundary conditionsBonder, J.F.Martínez, S.Rossi, J.D.Elliptic systemsNonlinear boundary conditionsVariational problemsWe 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.2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_BonderNonlinear Diff. Equ. Appl. 2007;14(1-2):153-179reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-04T09:48:40Zpaperaa:paper_10219722_v14_n1-2_p153_BonderInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-04 09:48:42.502Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Existence results for Gradient elliptic systems with nonlinear boundary conditions
title Existence results for Gradient elliptic systems with nonlinear boundary conditions
spellingShingle Existence results for Gradient elliptic systems with nonlinear boundary conditions
Bonder, J.F.
Elliptic systems
Nonlinear boundary conditions
Variational problems
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
dc.creator.none.fl_str_mv Bonder, J.F.
Martínez, S.
Rossi, J.D.
author Bonder, J.F.
author_facet Bonder, J.F.
Martínez, S.
Rossi, J.D.
author_role author
author2 Martínez, S.
Rossi, J.D.
author2_role author
author
dc.subject.none.fl_str_mv Elliptic systems
Nonlinear boundary conditions
Variational problems
topic Elliptic systems
Nonlinear boundary conditions
Variational problems
dc.description.none.fl_txt_mv 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.
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.
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder
url http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Nonlinear Diff. Equ. Appl. 2007;14(1-2):153-179
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.623145

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