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dc.contributor.authorAlves, Claudianor O.
dc.contributor.authorSilva, Edcarlos D.
dc.contributor.authorPimenta, Marcos T. O. [UNESP]
dc.identifier.citationAnalysis and Applications, v. 17, n. 4, p. 665-688, 2019.
dc.description.abstractThe existence and multiplicity of solutions for a class of quasilinear elliptic problems are established for the type - φu = f(u)in ω,u = 0 on ω, where ω N, N ≥ 2, is a smooth bounded domain. The nonlinear term f: → is a continuous function which is superlinear at the origin and infinity. The function φ: → is an N-function where the well-known 2-condition is not assumed. Then the Orlicz-Sobolev space W01,φ(ω) may be non-reflexive. As a main model, we have the function φ(t) = (et2 - 1)/2,t ≥ 0. Here, we consider some situations where it is possible to work with global minimization, local minimization and mountain pass theorem. However, some estimates employed here are not standard for this type of problem taking into account the modular given by the N-function φ.en
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.relation.ispartofAnalysis and Applications
dc.subject2 -condition
dc.subjectOrlicz-Sobolev spaces
dc.subjectquasilinear elliptic problems
dc.subjectvariational methods
dc.titleExistence of solution for a class of quasilinear elliptic problem without 2 -conditionen
dc.contributor.institutionUniversidade Federal de Campina Grande
dc.contributor.institutionUniversidade Federal de Goiás (UFG)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.description.affiliationUnidade Acadêmica de Matemática Universidade Federal de Campina Grande
dc.description.affiliationInstituto de Matemática e Estatśtica Universidade Federal de Goiás
dc.description.affiliationDepartamento de Matemática e Computação Faculdade de Ciências e Tecnologia Universidade Estadual Paulista (Unesp)
dc.description.affiliationUnespDepartamento de Matemática e Computação Faculdade de Ciências e Tecnologia Universidade Estadual Paulista (Unesp)
dc.rights.accessRightsAcesso restrito
dc.description.sponsorshipIdCNPq: 304804/2017-7
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