Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions

Detalhes bibliográficos
Autor(a) principal: Figueiredo, Giovany M.
Data de Publicação: 2018
Outros Autores: Pimenta, Marcos T. O. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s00030-018-0538-2
http://hdl.handle.net/11449/176833
Resumo: In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, over a set which has its definition inspired in the Nehari manifold. As applications we present a result of existence of ground state bounded variation solutions of problems involving the 1-laplacian and the 1-biharmonic operator, where the nonlinearity satisfies mild assumptions.
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spelling Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions1-Biharmonic1-LaplacianBounded variation functionsNehari methodIn this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, over a set which has its definition inspired in the Nehari manifold. As applications we present a result of existence of ground state bounded variation solutions of problems involving the 1-laplacian and the 1-biharmonic operator, where the nonlinearity satisfies mild assumptions.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Matemática Universidade de BrasíliaDepartamento de Matemática e Computação Faculdade de Ciências e Tecnologia Universidade Estadual Paulista - UNESPDepartamento de Matemática e Computação Faculdade de Ciências e Tecnologia Universidade Estadual Paulista - UNESPFAPESP: 2017/01756-2CNPq: 442520/2014-0Universidade de Brasília (UnB)Universidade Estadual Paulista (Unesp)Figueiredo, Giovany M.Pimenta, Marcos T. O. [UNESP]2018-12-11T17:22:41Z2018-12-11T17:22:41Z2018-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/s00030-018-0538-2Nonlinear Differential Equations and Applications, v. 25, n. 5, 2018.1420-90041021-9722http://hdl.handle.net/11449/17683310.1007/s00030-018-0538-22-s2.0-850532181942-s2.0-85053218194.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Differential Equations and Applications1,2761,276info:eu-repo/semantics/openAccess2024-01-26T06:31:44Zoai:repositorio.unesp.br:11449/176833Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-26T06:31:44Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
title Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
spellingShingle Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
Figueiredo, Giovany M.
1-Biharmonic
1-Laplacian
Bounded variation functions
Nehari method
title_short Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
title_full Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
title_fullStr Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
title_full_unstemmed Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
title_sort Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
author Figueiredo, Giovany M.
author_facet Figueiredo, Giovany M.
Pimenta, Marcos T. O. [UNESP]
author_role author
author2 Pimenta, Marcos T. O. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade de Brasília (UnB)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Figueiredo, Giovany M.
Pimenta, Marcos T. O. [UNESP]
dc.subject.por.fl_str_mv 1-Biharmonic
1-Laplacian
Bounded variation functions
Nehari method
topic 1-Biharmonic
1-Laplacian
Bounded variation functions
Nehari method
description In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, over a set which has its definition inspired in the Nehari manifold. As applications we present a result of existence of ground state bounded variation solutions of problems involving the 1-laplacian and the 1-biharmonic operator, where the nonlinearity satisfies mild assumptions.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T17:22:41Z
2018-12-11T17:22:41Z
2018-10-01
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://dx.doi.org/10.1007/s00030-018-0538-2
Nonlinear Differential Equations and Applications, v. 25, n. 5, 2018.
1420-9004
1021-9722
http://hdl.handle.net/11449/176833
10.1007/s00030-018-0538-2
2-s2.0-85053218194
2-s2.0-85053218194.pdf
url http://dx.doi.org/10.1007/s00030-018-0538-2
http://hdl.handle.net/11449/176833
identifier_str_mv Nonlinear Differential Equations and Applications, v. 25, n. 5, 2018.
1420-9004
1021-9722
10.1007/s00030-018-0538-2
2-s2.0-85053218194
2-s2.0-85053218194.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinear Differential Equations and Applications
1,276
1,276
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 Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1797790402554626048

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