Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$

Detalhes bibliográficos
Autor(a) principal: Aizicovici, S.
Data de Publicação: 2013
Outros Autores: Papageorgiou, N. S., Staicu, V.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/18697
Resumo: We consider a nonlinear periodic problem driven by a nonlinear, nonhomogeneous differential operator with a reaction which exhibits an asymmetric growth at $+\infty$ and at $-\infty$. It is $\left( p-1\right) -$superlinear near $+\infty$ and $\left( p-1\right) -$ sublinear near $-\infty$. A particular case of our problem is that of periodic equations with the scalar $p-$ Laplacian and an asymmetric nonlinearity. Using variational methods and Morse theory, we prove the existence of at least three nontrivial solutions.
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spelling Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$Asymmetric reactionNonhomogeneous differential opertatorC-conditionCritical groupsHomotopy equivalentmountain pass theoremWe consider a nonlinear periodic problem driven by a nonlinear, nonhomogeneous differential operator with a reaction which exhibits an asymmetric growth at $+\infty$ and at $-\infty$. It is $\left( p-1\right) -$superlinear near $+\infty$ and $\left( p-1\right) -$ sublinear near $-\infty$. A particular case of our problem is that of periodic equations with the scalar $p-$ Laplacian and an asymmetric nonlinearity. Using variational methods and Morse theory, we prove the existence of at least three nontrivial solutions.American Romanian Academy2017-11-03T09:35:17Z2013-01-01T00:00:00Z2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18697eng2182-567XAizicovici, S.Papageorgiou, N. S.Staicu, V.info: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:RCAAP2024-02-22T11:36:14Zoai:ria.ua.pt:10773/18697Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:53:38.279005Repositório 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 Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
title Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
spellingShingle Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
Aizicovici, S.
Asymmetric reaction
Nonhomogeneous differential opertator
C-condition
Critical groups
Homotopy equivalent
mountain pass theorem
title_short Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
title_full Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
title_fullStr Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
title_full_unstemmed Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
title_sort Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$
author Aizicovici, S.
author_facet Aizicovici, S.
Papageorgiou, N. S.
Staicu, V.
author_role author
author2 Papageorgiou, N. S.
Staicu, V.
author2_role author
author
dc.contributor.author.fl_str_mv Aizicovici, S.
Papageorgiou, N. S.
Staicu, V.
dc.subject.por.fl_str_mv Asymmetric reaction
Nonhomogeneous differential opertator
C-condition
Critical groups
Homotopy equivalent
mountain pass theorem
topic Asymmetric reaction
Nonhomogeneous differential opertator
C-condition
Critical groups
Homotopy equivalent
mountain pass theorem
description We consider a nonlinear periodic problem driven by a nonlinear, nonhomogeneous differential operator with a reaction which exhibits an asymmetric growth at $+\infty$ and at $-\infty$. It is $\left( p-1\right) -$superlinear near $+\infty$ and $\left( p-1\right) -$ sublinear near $-\infty$. A particular case of our problem is that of periodic equations with the scalar $p-$ Laplacian and an asymmetric nonlinearity. Using variational methods and Morse theory, we prove the existence of at least three nontrivial solutions.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01T00:00:00Z
2013
2017-11-03T09:35:17Z
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/10773/18697
url http://hdl.handle.net/10773/18697
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2182-567X
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 American Romanian Academy
publisher.none.fl_str_mv American Romanian Academy
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
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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