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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NON-DEGENERATE KIRCHHOFF TYPE PROBLEM WITH NONLINEAR BOUNDARY CONDITION

dc.contributor.authorGuimaraes, Mateus Balbino
dc.contributor.authorHurtado, Elard Juarez [UNESP]
dc.contributor.authorRodrigues, Rodrigo Da Silva
dc.contributor.institutionInst Fed Sudeste Minas Gerais
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.date.accessioned2019-10-04T12:36:27Z
dc.date.available2019-10-04T12:36:27Z
dc.date.issued2019-03-22
dc.description.abstractWe 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.en
dc.description.affiliationInst Fed Sudeste Minas Gerais, Dept Educ & Ciencias, BR-36080001 Juiz De Fora, MG, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat & Computacao, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUniv Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat & Computacao, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCAPES: 001
dc.description.sponsorshipIdFAPESP: 2015/11912-6
dc.format.extent12
dc.identifier.citationElectronic Journal Of Differential Equations. San Marcos: Texas State Univ, 12 p., 2019.
dc.identifier.issn1072-6691
dc.identifier.urihttp://hdl.handle.net/11449/185559
dc.identifier.wosWOS:000462268200001
dc.language.isoeng
dc.publisherTexas State Univ
dc.relation.ispartofElectronic Journal Of Differential Equations
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectVariational methods
dc.subjectnonlinear elliptic equations
dc.titleEXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NON-DEGENERATE KIRCHHOFF TYPE PROBLEM WITH NONLINEAR BOUNDARY CONDITIONen
dc.typeArtigo
dcterms.rightsHolderTexas State Univ
dspace.entity.typePublication
unesp.departmentMatemática e Computação - FCTpt

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