Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent

Detalhes bibliográficos
Ano de defesa: 2016
Autor(a) principal: Juárez Hurtado, Elard
Orientador(a): Rodrigues, Rodrigo da Silva lattes
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Universidade Federal de São Carlos
Câmpus São Carlos
Programa de Pós-Graduação: Programa de Pós-Graduação em Matemática - PPGM
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Problema elíptico
Operadores com expoentes variáveis
Equações
Palavras-chave em Inglês:
Elliptic problems
Operators with variables exponents
Equations
Área do conhecimento CNPq:
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Link de acesso: https://repositorio.ufscar.br/handle/20.500.14289/8838
Resumo: We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical growth. The second problem is a nonlocal elliptic problem where the nonlinearitv has critical growth. ... continua
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spelling Juárez Hurtado, ElardRodrigues, Rodrigo da Silvahttp://lattes.cnpq.br/9606661651573155Miyagaki, Olímpio Hiroshihttp://lattes.cnpq.br/2646698407526867http://lattes.cnpq.br/045529027519904263b4e4a4-1987-4d82-87de-9f8641fc69712017-06-06T13:20:52Z2017-06-06T13:20:52Z2016-12-05JUÁREZ HURTADO, Elard. Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent. 2016. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/8838.https://repositorio.ufscar.br/handle/20.500.14289/8838We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical growth. The second problem is a nonlocal elliptic problem where the nonlinearitv has critical growth. ... continuaNeste trabalho estudamos a existência e multiplicidade de soluções não triviais para duas classes de problemas elípticos. O primeiro problema elíptico que estudamos abrange uma classe geral de operadores com expoentes variáveis onde a não linearidade possui crescimento subcrítico. O segundo problema trata de uma equação não local envolvendo uma ampla classe de operadores onde a não linearidade possui crescimento sublinear/superlinear, mais um termo com crescimento crítico. ... continuaCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)engUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarProblema elípticoOperadores com expoentes variáveisEquaçõesElliptic problemsOperators with variables exponentsEquationsCIENCIAS EXATAS E DA TERRA::MATEMATICAExistence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponentinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisOnline600cec466ae-8004-43bf-a391-65bc7f6f1a97info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALTeseEJH.pdfTeseEJH.pdfapplication/pdf21600349https://repositorio.ufscar.br/bitstreams/64d2cd7d-ef46-45c5-a11e-3ef6e0793879/download9be6866d2a15e1ea7aa6325d99e7fa4cMD51trueAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstreams/6b7c9449-01dd-49ce-a05f-4d01bb5471ec/downloadae0398b6f8b235e40ad82cba6c50031dMD52falseAnonymousREADTHUMBNAILTeseEJH.pdf.jpgTeseEJH.pdf.jpgIM Thumbnailimage/jpeg6969https://repositorio.ufscar.br/bitstreams/6411c835-4a01-4a10-b85b-99fade20ff24/download1af726ca73be002236c778f59c2bd172MD55falseAnonymousREADTEXTTeseEJH.pdf.txtTeseEJH.pdf.txtExtracted texttext/plain166425https://repositorio.ufscar.br/bitstreams/da68a980-e108-4e39-ac5e-165eade9ad2c/downloadb62c93114bb3fdbe816621ac4faf45a6MD54falseAnonymousREAD20.500.14289/88382025-02-05 18:58:34.584Acesso abertoopen.accessoai:repositorio.ufscar.br:20.500.14289/8838https://repositorio.ufscar.brRepositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestrepositorio.sibi@ufscar.bropendoar:43222025-02-05T21:58:34Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)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
dc.title.eng.fl_str_mv Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
title Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
spellingShingle Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
Juárez Hurtado, Elard
Problema elíptico
Operadores com expoentes variáveis
Equações
Elliptic problems
Operators with variables exponents
Equations
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
title_full Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
title_fullStr Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
title_full_unstemmed Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
title_sort Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
author Juárez Hurtado, Elard
author_facet Juárez Hurtado, Elard
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/0455290275199042
dc.contributor.author.fl_str_mv Juárez Hurtado, Elard
dc.contributor.advisor1.fl_str_mv Rodrigues, Rodrigo da Silva
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9606661651573155
dc.contributor.advisor-co1.fl_str_mv Miyagaki, Olímpio Hiroshi
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/2646698407526867
dc.contributor.authorID.fl_str_mv 63b4e4a4-1987-4d82-87de-9f8641fc6971
contributor_str_mv Rodrigues, Rodrigo da Silva
Miyagaki, Olímpio Hiroshi
dc.subject.por.fl_str_mv Problema elíptico
Operadores com expoentes variáveis
Equações
topic Problema elíptico
Operadores com expoentes variáveis
Equações
Elliptic problems
Operators with variables exponents
Equations
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Elliptic problems
Operators with variables exponents
Equations
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical growth. The second problem is a nonlocal elliptic problem where the nonlinearitv has critical growth. ... continua
publishDate 2016
dc.date.issued.fl_str_mv 2016-12-05
dc.date.accessioned.fl_str_mv 2017-06-06T13:20:52Z
dc.date.available.fl_str_mv 2017-06-06T13:20:52Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv JUÁREZ HURTADO, Elard. Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent. 2016. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/8838.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/20.500.14289/8838
identifier_str_mv JUÁREZ HURTADO, Elard. Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent. 2016. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/8838.
url https://repositorio.ufscar.br/handle/20.500.14289/8838
dc.language.iso.fl_str_mv eng
language eng
dc.relation.confidence.fl_str_mv 600
dc.relation.authority.fl_str_mv cec466ae-8004-43bf-a391-65bc7f6f1a97
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática - PPGM
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFSCAR
instname:Universidade Federal de São Carlos (UFSCAR)
instacron:UFSCAR
instname_str Universidade Federal de São Carlos (UFSCAR)
instacron_str UFSCAR
institution UFSCAR
reponame_str Repositório Institucional da UFSCAR
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