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Title
Entropy solutions for the p(x)-Laplace equation

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 L^1 data, extending a work of Bénilan et al. 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.

Speaker(s)
Manel Sanchón (CMUC, Univ. Coimbra)

Date
March 03, 2006

Time
14.30

Room
5.5

 
     
 

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