Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/11376
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dc.contributor.authorSanchón, Manel-
dc.contributor.authorUrbano, José Miguel-
dc.date.accessioned2009-09-14T08:38:08Z-
dc.date.available2009-09-14T08:38:08Z-
dc.date.issued2006-
dc.identifier.citationPré-Publicações DMUC. 06-02 (2006)en_US
dc.identifier.urihttps://hdl.handle.net/10316/11376-
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 L1 data, extending the work of B´enilan et al. [5] to nonconstant exponents, as well as integrability results for the solution and its gradient. The proofs rely crucially on a priori estimates in Marcinkiewicz spaces with variable exponenten_US
dc.description.sponsorshipCMUC/FCT and MCYT grants BMF2002- 04613-C03, MTM2005-07660-C02 (first author); CMUC/FCT and Project POCI/MAT/57546/2004 (second author)en_US
dc.language.isoengen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.rightsopenAccessen_US
dc.titleEntropy solutions for the p(x)-Laplace equationen_US
dc.typepreprinten_US
uc.controloAutoridadeSim-
item.fulltextCom Texto completo-
item.grantfulltextopen-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.openairetypepreprint-
item.openairecristypehttp://purl.org/coar/resource_type/c_816b-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0002-5715-2588-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais
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