Boundary oscillations and nonlinear boundary conditions

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dc.contributor.authorArrieta, Jose M.
dc.contributor.authorBruschi, Simone M.
dc.contributor.institutionUniv Complutense
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-02-26T17:25:44Z
dc.date.accessioned2014-05-20T14:17:03Z
dc.date.available2014-02-26T17:25:44Z
dc.date.available2014-05-20T14:17:03Z
dc.date.issued2006-07-15
dc.description.abstractWe study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type partial derivative u/partial derivative n + g(x, u) = 0. We show that there exists a function gamma defined on the boundary, that depends on an the oscillations at the boundary, such that, if gamma is a bounded function, then, for all nonlinearities g, the limiting boundary condition is given by partial derivative u/partial derivative n + gamma(x)g(x, u) = 0 (Theorem 2.1, Case 1). Moreover, if g is dissipative and gamma infinity then we obtain a Dirichlet an boundary condition (Theorem 2.1, Case 2).en
dc.description.affiliationUniv Complutense, Dept Matemat Aplicada, E-28040 Madrid, Spain
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, Rio Claro, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, Rio Claro, SP, Brazil
dc.format.extent99-104
dc.identifierhttp://dx.doi.org/10.1016/j.crma.2006.05.007
dc.identifier.citationComptes Rendus Mathematique. Paris: Elsevier France-editions Scientifiques Medicales Elsevier, v. 343, n. 2, p. 99-104, 2006.
dc.identifier.doi10.1016/j.crma.2006.05.007
dc.identifier.issn1631-073X
dc.identifier.urihttp://hdl.handle.net/11449/25113
dc.identifier.wosWOS:000239380200006
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofComptes Rendus Mathematique
dc.relation.ispartofjcr0.515
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleBoundary oscillations and nonlinear boundary conditionsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Matemática - IGCE