Nontrivial solutions for nonvariational quasilinear neumann problems

Detalhes bibliográficos
Autor(a) principal: Papageorgiou, Nikolaos S.
Data de Publicação: 2010
Outros Autores: Santos, Sandrina R. A., 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/10773/6937
Resumo: We consider a nonlinear nonvariational Neumann problem with a nonsmooth potential. Using the spectrum of the assymptotic (as |x| - ∞) differential operator and degree theoretic techniques based on the degree map of certain multivalued perturbations of (S)+-operators, we establish the existence of at least one nontrivial smooth solution.
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spelling Nontrivial solutions for nonvariational quasilinear neumann problemsnonvariational problemasymptotic differential operatordegree theory(S)+-operatornonsmooth potentialgeneralized subdifferentialWe consider a nonlinear nonvariational Neumann problem with a nonsmooth potential. Using the spectrum of the assymptotic (as |x| - ∞) differential operator and degree theoretic techniques based on the degree map of certain multivalued perturbations of (S)+-operators, we establish the existence of at least one nontrivial smooth solution.2012-02-27T16:48:14Z2010-01-01T00:00:00Z2010info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/6937eng1230-3429Papageorgiou, Nikolaos S.Santos, Sandrina R. A.Staicu, 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:10773/6937Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:25.286165Repositório 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 Nontrivial solutions for nonvariational quasilinear neumann problems
title Nontrivial solutions for nonvariational quasilinear neumann problems
spellingShingle Nontrivial solutions for nonvariational quasilinear neumann problems
Papageorgiou, Nikolaos S.
nonvariational problem
asymptotic differential operator
degree theory
(S)+-operator
nonsmooth potential
generalized subdifferential
title_short Nontrivial solutions for nonvariational quasilinear neumann problems
title_full Nontrivial solutions for nonvariational quasilinear neumann problems
title_fullStr Nontrivial solutions for nonvariational quasilinear neumann problems
title_full_unstemmed Nontrivial solutions for nonvariational quasilinear neumann problems
title_sort Nontrivial solutions for nonvariational quasilinear neumann problems
author Papageorgiou, Nikolaos S.
author_facet Papageorgiou, Nikolaos S.
Santos, Sandrina R. A.
Staicu, Vasile
author_role author
author2 Santos, Sandrina R. A.
Staicu, Vasile
author2_role author
author
dc.contributor.author.fl_str_mv Papageorgiou, Nikolaos S.
Santos, Sandrina R. A.
Staicu, Vasile
dc.subject.por.fl_str_mv nonvariational problem
asymptotic differential operator
degree theory
(S)+-operator
nonsmooth potential
generalized subdifferential
topic nonvariational problem
asymptotic differential operator
degree theory
(S)+-operator
nonsmooth potential
generalized subdifferential
description We consider a nonlinear nonvariational Neumann problem with a nonsmooth potential. Using the spectrum of the assymptotic (as |x| - ∞) differential operator and degree theoretic techniques based on the degree map of certain multivalued perturbations of (S)+-operators, we establish the existence of at least one nontrivial smooth solution.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01T00:00:00Z
2010
2012-02-27T16:48:14Z
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/10773/6937
url http://hdl.handle.net/10773/6937
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1230-3429
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.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
instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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