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Entropy solutions for the $p(x)$-Laplace equations

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dc.contributor.authorSanchón, Manel
dc.contributor.authorUrbano, José Miguel
dc.date.accessioned2016-03-14T12:17:09Z
dc.date.available2016-03-14T12:17:09Z
dc.date.issued2009-12
dc.date.updated2016-03-14T12:17:14Z
dc.description.abstractWe consider a Dirichlet problem in divergence form with variable growth, modeled on the $ p(x)$-Laplace equation. We obtain existence and uniqueness of an entropy solution for $ L^1$ data, as well as integrability results for the solution and its gradient. The proofs rely crucially on a priori estimates in Marcinkiewicz spaces with variable exponent, for which we obtain new inclusion results of independent interest.
dc.format.extent19 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec569721
dc.identifier.issn0002-9947
dc.identifier.urihttps://hdl.handle.net/2445/96448
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.isformatofReproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-09-04399-2
dc.relation.ispartofTransactions of the American Mathematical Society, 2009, vol. 361, num. 12, p. 6387-6405
dc.relation.urihttp://dx.doi.org/10.1090/S0002-9947-09-04399-2
dc.rights(c) American Mathematical Society (AMS), 2009
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationEquacions en derivades parcials
dc.subject.classificationOperadors el·líptics
dc.subject.classificationAnàlisi funcional no lineal
dc.subject.otherPartial differential equations
dc.subject.otherElliptic operator
dc.subject.otherNonlinear functional analysis
dc.titleEntropy solutions for the $p(x)$-Laplace equations
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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