Título:
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Entropy solutions for the $p(x)$-Laplace equations
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Autor/a:
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Sanchón, Manel; Urbano, José Miguel
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Otros autores:
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Universitat de Barcelona |
Abstract:
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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, 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, for which we obtain new inclusion results of independent interest. |
Materia(s):
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-Equacions en derivades parcials -Operadors el·líptics -Anàlisi funcional no lineal -Partial differential equations -Elliptic operator -Nonlinear functional analysis |
Derechos:
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(c) American Mathematical Society (AMS), 2009
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Tipo de documento:
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Artículo Artículo - Versión publicada |
Editor:
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American Mathematical Society (AMS)
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Compartir:
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