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Existence and multiplicity of solutions for a prescribed mean-curvature problem with critical growth

dc.contributor.authorFigueiredo, Giovany M.
dc.contributor.authorPimenta, Marcos T. O. [UNESP]
dc.contributor.institutionUniversidade Federal do Pará (UFPA)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:38:23Z
dc.date.available2018-12-11T16:38:23Z
dc.date.issued2015-04-07
dc.description.abstractIn this work we study an existence and multiplicity of solutions for the prescribed mean-curvature problem with critical growth, -div(Formula Presented), where Ω is a bounded smooth domain of RN, N ≥ 3 and 1 < q < 2. To employ variational arguments, we consider an auxiliary problem which is proved to have infinitely many solutions by genus theory. A clever estimate in the gradient of the solutions of the modified problem is necessary to recover solutions of the original problem.en
dc.description.affiliationUniversidade Federal do Pará
dc.description.affiliationUNESP - Univ Estadual Paulista
dc.description.affiliationUnespUNESP - Univ Estadual Paulista
dc.identifier.citationElectronic Journal of Differential Equations, v. 2015.
dc.identifier.issn1072-6691
dc.identifier.scopus2-s2.0-84926466160
dc.identifier.urihttp://hdl.handle.net/11449/167801
dc.language.isoeng
dc.relation.ispartofElectronic Journal of Differential Equations
dc.relation.ispartofsjr0,538
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectCritical exponent
dc.subjectPrescribed mean-curvature problem
dc.subjectVariational methods
dc.titleExistence and multiplicity of solutions for a prescribed mean-curvature problem with critical growthen
dc.typeArtigo
dspace.entity.typePublication

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