Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition

Bibliographic Details
Main Author: Guimarães, Mateus Balbino
Publication Date: 2019
Other Authors: Hurtado, Elard Juarez [UNESP], Rodrigues, rodrigo da Silva
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://hdl.handle.net/11449/221320
Summary: We show the existence of solutions for nonlinear elliptic partial differential equations with Steklov nonlinear boundary conditions involving a Kirchhoff type operator. By using variational and topological methods, we prove the existence and multiplicity of solutions. The results obtained are new even for the standard stationary Kirchhoff equation with nonlinear boundary condition involving the p-Laplacian operator.
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spelling Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary conditionNonlinear elliptic equationsSteklov-Neumann eigenvaluesVariational methodsWe show the existence of solutions for nonlinear elliptic partial differential equations with Steklov nonlinear boundary conditions involving a Kirchhoff type operator. By using variational and topological methods, we prove the existence and multiplicity of solutions. The results obtained are new even for the standard stationary Kirchhoff equation with nonlinear boundary condition involving the p-Laplacian operator.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Departamento de Eduacação e ciências Instituto Federal do Sudeste de Minas GeraisDepartamento de Matemática e Computação Universidade Estadual PaulistaDepartamento de Matemática UNiversidade Federal de São CarlosDepartamento de Matemática e Computação Universidade Estadual PaulistaFAPESP: #2015/11912-6Instituto Federal do Sudeste de Minas GeraisUniversidade Estadual Paulista (UNESP)Universidade Federal de São Carlos (UFSCar)Guimarães, Mateus BalbinoHurtado, Elard Juarez [UNESP]Rodrigues, rodrigo da Silva2022-04-28T19:27:26Z2022-04-28T19:27:26Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleElectronic Journal of Differential Equations, v. 2019.1072-6691http://hdl.handle.net/11449/2213202-s2.0-85068442125Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectronic Journal of Differential Equationsinfo:eu-repo/semantics/openAccess2022-04-28T19:27:26Zoai:repositorio.unesp.br:11449/221320Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462022-04-28T19:27:26Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
title Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
spellingShingle Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
Guimarães, Mateus Balbino
Nonlinear elliptic equations
Steklov-Neumann eigenvalues
Variational methods
title_short Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
title_full Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
title_fullStr Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
title_full_unstemmed Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
title_sort Existence and multiplicity of solutions for non-degenerate kirchhoff type problem with nonlinear boundary condition
author Guimarães, Mateus Balbino
author_facet Guimarães, Mateus Balbino
Hurtado, Elard Juarez [UNESP]
Rodrigues, rodrigo da Silva
author_role author
author2 Hurtado, Elard Juarez [UNESP]
Rodrigues, rodrigo da Silva
author2_role author
author
dc.contributor.none.fl_str_mv Instituto Federal do Sudeste de Minas Gerais
Universidade Estadual Paulista (UNESP)
Universidade Federal de São Carlos (UFSCar)
dc.contributor.author.fl_str_mv Guimarães, Mateus Balbino
Hurtado, Elard Juarez [UNESP]
Rodrigues, rodrigo da Silva
dc.subject.por.fl_str_mv Nonlinear elliptic equations
Steklov-Neumann eigenvalues
Variational methods
topic Nonlinear elliptic equations
Steklov-Neumann eigenvalues
Variational methods
description We show the existence of solutions for nonlinear elliptic partial differential equations with Steklov nonlinear boundary conditions involving a Kirchhoff type operator. By using variational and topological methods, we prove the existence and multiplicity of solutions. The results obtained are new even for the standard stationary Kirchhoff equation with nonlinear boundary condition involving the p-Laplacian operator.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01
2022-04-28T19:27:26Z
2022-04-28T19:27:26Z
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 Electronic Journal of Differential Equations, v. 2019.
1072-6691
http://hdl.handle.net/11449/221320
2-s2.0-85068442125
identifier_str_mv Electronic Journal of Differential Equations, v. 2019.
1072-6691
2-s2.0-85068442125
url http://hdl.handle.net/11449/221320
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Electronic Journal of Differential Equations
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 repositoriounesp@unesp.br
_version_ 1834483337538830336

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