Autor(es):
Sanchón, Manel 
; Urbano, José Miguel
Data: 2006
Identificador Persistente: http://hdl.handle.net/10316/11376
Origem: Estudo Geral - Universidade de Coimbra
Detalhes do Documento
Entropy solutions for the p(x)-Laplace equation
Descrição
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 CMUC/FCT and MCYT grants BMF2002- 04613-C03, MTM2005-07660-C02 (first author); CMUC/FCT and Project POCI/MAT/57546/2004 (second author)
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 CMUC/FCT and MCYT grants BMF2002- 04613-C03, MTM2005-07660-C02 (first author); CMUC/FCT and Project POCI/MAT/57546/2004 (second author)
Tipo de Documento
Preprint
Idioma Inglês
Idioma Inglês
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