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Title: Entropy solutions for the p(x)-Laplace equation
Authors: Sanchón, Manel 
Urbano, José Miguel 
Issue Date: 2006
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 06-02 (2006)
Abstract: We 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 exponent
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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