Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator

Detalhes bibliográficos
Autor(a) principal: Santos, Gelson dos
Data de Publicação: 2022
Outros Autores: Figueiredo, Giovany M., 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/s12220-022-00881-8
http://hdl.handle.net/11449/230405
Resumo: In this paper, we use minimax methods, comparison arguments, and an approximation result to show the existence and multiplicity of solutions for the following class of problems: {-Δ1v=λf(v)inΩ,v≥0inΩ,v=0on∂Ω,where Ω is a bounded smooth domain of RN, N≥ 1 , λ> 0 is a parameter and the non-linearity f: R→ R is a continuous function that can change sign and satisfies an area condition.
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spelling Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator1-Laplacian operatorQuasilinear elliptic operatorIn this paper, we use minimax methods, comparison arguments, and an approximation result to show the existence and multiplicity of solutions for the following class of problems: {-Δ1v=λf(v)inΩ,v≥0inΩ,v=0on∂Ω,where Ω is a bounded smooth domain of RN, N≥ 1 , λ> 0 is a parameter and the non-linearity f: R→ R is a continuous function that can change sign and satisfies an area condition.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Apoio à Pesquisa do Distrito FederalFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Faculdade de Matemática Universidade Federal do Pará, PADepartamento de Matemática Universidade de Brasília, DFDepartamento de Matemática e Computação Faculdade de Ciência e Tecnologia Universidade Estadual Paulista, SPDepartamento de Matemática e Computação Faculdade de Ciência e Tecnologia Universidade Estadual Paulista, SPFAPESP: 2021/04158-4CNPq: 303788/2018-6Universidade Federal do Pará (UFPA)Universidade de Brasília (UnB)Universidade Estadual Paulista (UNESP)Santos, Gelson dosFigueiredo, Giovany M.Pimenta, Marcos T. O. [UNESP]2022-04-29T08:39:48Z2022-04-29T08:39:48Z2022-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s12220-022-00881-8Journal of Geometric Analysis, v. 32, n. 4, 2022.1050-6926http://hdl.handle.net/11449/23040510.1007/s12220-022-00881-82-s2.0-85124753857Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Geometric Analysisinfo:eu-repo/semantics/openAccess2024-06-19T14:31:53Zoai:repositorio.unesp.br:11449/230405Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:03:49.346277Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
title Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
spellingShingle Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
Santos, Gelson dos
1-Laplacian operator
Quasilinear elliptic operator
title_short Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
title_full Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
title_fullStr Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
title_full_unstemmed Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
title_sort Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
author Santos, Gelson dos
author_facet Santos, Gelson dos
Figueiredo, Giovany M.
Pimenta, Marcos T. O. [UNESP]
author_role author
author2 Figueiredo, Giovany M.
Pimenta, Marcos T. O. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal do Pará (UFPA)
Universidade de Brasília (UnB)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Santos, Gelson dos
Figueiredo, Giovany M.
Pimenta, Marcos T. O. [UNESP]
dc.subject.por.fl_str_mv 1-Laplacian operator
Quasilinear elliptic operator
topic 1-Laplacian operator
Quasilinear elliptic operator
description In this paper, we use minimax methods, comparison arguments, and an approximation result to show the existence and multiplicity of solutions for the following class of problems: {-Δ1v=λf(v)inΩ,v≥0inΩ,v=0on∂Ω,where Ω is a bounded smooth domain of RN, N≥ 1 , λ> 0 is a parameter and the non-linearity f: R→ R is a continuous function that can change sign and satisfies an area condition.
publishDate 2022
dc.date.none.fl_str_mv 2022-04-29T08:39:48Z
2022-04-29T08:39:48Z
2022-04-01
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/s12220-022-00881-8
Journal of Geometric Analysis, v. 32, n. 4, 2022.
1050-6926
http://hdl.handle.net/11449/230405
10.1007/s12220-022-00881-8
2-s2.0-85124753857
url http://dx.doi.org/10.1007/s12220-022-00881-8
http://hdl.handle.net/11449/230405
identifier_str_mv Journal of Geometric Analysis, v. 32, n. 4, 2022.
1050-6926
10.1007/s12220-022-00881-8
2-s2.0-85124753857
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Geometric Analysis
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1808128749438238720

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