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https://hdl.handle.net/10316/11376
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 | URI: | https://hdl.handle.net/10316/11376 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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File | Description | Size | Format | |
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Entropy solutions for the p(x)-Laplace equation.pdf | 151.9 kB | Adobe PDF | View/Open |
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