Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance

Detalhes bibliográficos
Autor(a) principal: Frassu, Silvia
Data de Publicação: 2019
Outros Autores: Rocha, Eugénio, 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/10773/26163
Resumo: In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove the existence of three nontrivial solutions: one positive, one negative and one of unknown sign, using variational methods based on nosmooth critical point theory, more precisely applying the second deformation theorem and spectral theory. Here, a nosmooth anisotropic version of the Holder versus Sobolev minimizers relation play an important role.
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spelling Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonanceIntegrodifferential operatorsDifferential inclusionsNonsmooth analysisCritical point theoryIn this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove the existence of three nontrivial solutions: one positive, one negative and one of unknown sign, using variational methods based on nosmooth critical point theory, more precisely applying the second deformation theorem and spectral theory. Here, a nosmooth anisotropic version of the Holder versus Sobolev minimizers relation play an important role.Texas State University, Department of Mathematics2019-06-03T15:53:09Z2019-05-31T00:00:00Z2019-05-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26163eng1072-6691Frassu, SilviaRocha, EugénioStaicu, 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:RCAAP2024-02-22T11:50:39Zoai:ria.ua.pt:10773/26163Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:13.451303Repositório 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 Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
title Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
spellingShingle Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
Frassu, Silvia
Integrodifferential operators
Differential inclusions
Nonsmooth analysis
Critical point theory
title_short Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
title_full Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
title_fullStr Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
title_full_unstemmed Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
title_sort Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
author Frassu, Silvia
author_facet Frassu, Silvia
Rocha, Eugénio
Staicu, Vasile
author_role author
author2 Rocha, Eugénio
Staicu, Vasile
author2_role author
author
dc.contributor.author.fl_str_mv Frassu, Silvia
Rocha, Eugénio
Staicu, Vasile
dc.subject.por.fl_str_mv Integrodifferential operators
Differential inclusions
Nonsmooth analysis
Critical point theory
topic Integrodifferential operators
Differential inclusions
Nonsmooth analysis
Critical point theory
description In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove the existence of three nontrivial solutions: one positive, one negative and one of unknown sign, using variational methods based on nosmooth critical point theory, more precisely applying the second deformation theorem and spectral theory. Here, a nosmooth anisotropic version of the Holder versus Sobolev minimizers relation play an important role.
publishDate 2019
dc.date.none.fl_str_mv 2019-06-03T15:53:09Z
2019-05-31T00:00:00Z
2019-05-31
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/10773/26163
url http://hdl.handle.net/10773/26163
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1072-6691
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 Texas State University, Department of Mathematics
publisher.none.fl_str_mv Texas State University, Department of Mathematics
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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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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