On the existence of multiple nontrivial solutions for resonant neumann problems

Detalhes bibliográficos
Autor(a) principal: Papageorgiou, Nikolaos
Data de Publicação: 2008
Outros Autores: Santos, Sandrina, Staicu, Vasile
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/5278
Resumo: We consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmooth potential (hemivariational inequality). Using nonsmooth critical point theory, we establish the existence of at least two nontrivial smooth solutions, when double resonance occurs at the origin between any two distinct successive eigenvalues.
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spelling On the existence of multiple nontrivial solutions for resonant neumann problemsLocally Lipschitz functionGeneralized subdifferentialDouble resonanceLocal linkingPalais-Smale conditionWe consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmooth potential (hemivariational inequality). Using nonsmooth critical point theory, we establish the existence of at least two nontrivial smooth solutions, when double resonance occurs at the origin between any two distinct successive eigenvalues.Yokohama Publishers10000-01-01T00:00:00Z2008-01-01T00:00:00Z2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/5278eng1345-4773Papageorgiou, NikolaosSantos, SandrinaStaicu, Vasileinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:05:08Zoai:ria.ua.pt:10773/5278Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:25.601953Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the existence of multiple nontrivial solutions for resonant neumann problems
title On the existence of multiple nontrivial solutions for resonant neumann problems
spellingShingle On the existence of multiple nontrivial solutions for resonant neumann problems
Papageorgiou, Nikolaos
Locally Lipschitz function
Generalized subdifferential
Double resonance
Local linking
Palais-Smale condition
title_short On the existence of multiple nontrivial solutions for resonant neumann problems
title_full On the existence of multiple nontrivial solutions for resonant neumann problems
title_fullStr On the existence of multiple nontrivial solutions for resonant neumann problems
title_full_unstemmed On the existence of multiple nontrivial solutions for resonant neumann problems
title_sort On the existence of multiple nontrivial solutions for resonant neumann problems
author Papageorgiou, Nikolaos
author_facet Papageorgiou, Nikolaos
Santos, Sandrina
Staicu, Vasile
author_role author
author2 Santos, Sandrina
Staicu, Vasile
author2_role author
author
dc.contributor.author.fl_str_mv Papageorgiou, Nikolaos
Santos, Sandrina
Staicu, Vasile
dc.subject.por.fl_str_mv Locally Lipschitz function
Generalized subdifferential
Double resonance
Local linking
Palais-Smale condition
topic Locally Lipschitz function
Generalized subdifferential
Double resonance
Local linking
Palais-Smale condition
description We consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmooth potential (hemivariational inequality). Using nonsmooth critical point theory, we establish the existence of at least two nontrivial smooth solutions, when double resonance occurs at the origin between any two distinct successive eigenvalues.
publishDate 2008
dc.date.none.fl_str_mv 10000-01-01T00:00:00Z
2008-01-01T00:00:00Z
2008
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/5278
url http://hdl.handle.net/10773/5278
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1345-4773
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Yokohama Publishers
publisher.none.fl_str_mv Yokohama Publishers
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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