A multiplicity result for a class of quasilinear elliptic and parabolic problems

Detalhes bibliográficos
Autor(a) principal: Grossinho, Maria do Rosário
Data de Publicação: 1997
Outros Autores: Omari, Pierpaolo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.5/27657
Resumo: We prove the existence of infinitely many solutions for a class of quasilinear elliptic and parabolic equations, subject respectively to Dirichlet and Dirichlet–periodic boundary conditions. We assume that the primitive of the nonlinearity at the right-hand side oscillates at infinity. The proof is based on the construction of upper and lower solutions, which are obtained as solutions of suitable comparison equations. This method allows the introduction of conditions on the potential for the study of parabolic problems, as well as to treat simultaneously the singular and the degenerate case.
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spelling A multiplicity result for a class of quasilinear elliptic and parabolic problemsQuasilinearEllipticParabolic ProblemsWe prove the existence of infinitely many solutions for a class of quasilinear elliptic and parabolic equations, subject respectively to Dirichlet and Dirichlet–periodic boundary conditions. We assume that the primitive of the nonlinearity at the right-hand side oscillates at infinity. The proof is based on the construction of upper and lower solutions, which are obtained as solutions of suitable comparison equations. This method allows the introduction of conditions on the potential for the study of parabolic problems, as well as to treat simultaneously the singular and the degenerate case.Southwest Texas State University and University of North TexasRepositório da Universidade de LisboaGrossinho, Maria do RosárioOmari, Pierpaolo2023-04-24T11:25:52Z19971997-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/27657engGrossinho, Maria do Rosário and Pierpaolo Omari .(1997). “A multiplicity result for a class of quasilinear elliptic and parabolic problems”. Electronic Journal of Differential Equations, Vol. 1997, Nº 8: pp. 1–16. (Search PDF in 2023).1072-6691.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:RCAAP2023-04-30T01:30:48Zoai:www.repository.utl.pt:10400.5/27657Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:50:26.029540Repositório 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 A multiplicity result for a class of quasilinear elliptic and parabolic problems
title A multiplicity result for a class of quasilinear elliptic and parabolic problems
spellingShingle A multiplicity result for a class of quasilinear elliptic and parabolic problems
Grossinho, Maria do Rosário
Quasilinear
Elliptic
Parabolic Problems
title_short A multiplicity result for a class of quasilinear elliptic and parabolic problems
title_full A multiplicity result for a class of quasilinear elliptic and parabolic problems
title_fullStr A multiplicity result for a class of quasilinear elliptic and parabolic problems
title_full_unstemmed A multiplicity result for a class of quasilinear elliptic and parabolic problems
title_sort A multiplicity result for a class of quasilinear elliptic and parabolic problems
author Grossinho, Maria do Rosário
author_facet Grossinho, Maria do Rosário
Omari, Pierpaolo
author_role author
author2 Omari, Pierpaolo
author2_role author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Grossinho, Maria do Rosário
Omari, Pierpaolo
dc.subject.por.fl_str_mv Quasilinear
Elliptic
Parabolic Problems
topic Quasilinear
Elliptic
Parabolic Problems
description We prove the existence of infinitely many solutions for a class of quasilinear elliptic and parabolic equations, subject respectively to Dirichlet and Dirichlet–periodic boundary conditions. We assume that the primitive of the nonlinearity at the right-hand side oscillates at infinity. The proof is based on the construction of upper and lower solutions, which are obtained as solutions of suitable comparison equations. This method allows the introduction of conditions on the potential for the study of parabolic problems, as well as to treat simultaneously the singular and the degenerate case.
publishDate 1997
dc.date.none.fl_str_mv 1997
1997-01-01T00:00:00Z
2023-04-24T11:25:52Z
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/10400.5/27657
url http://hdl.handle.net/10400.5/27657
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Grossinho, Maria do Rosário and Pierpaolo Omari .(1997). “A multiplicity result for a class of quasilinear elliptic and parabolic problems”. Electronic Journal of Differential Equations, Vol. 1997, Nº 8: pp. 1–16. (Search PDF in 2023).
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 Southwest Texas State University and University of North Texas
publisher.none.fl_str_mv Southwest Texas State University and University of North Texas
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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