Boundedness of the extremal solution of some p-Laplacian problems

In this article we consider the p-Laplace equation on a smooth bounded domain of with zero Dirichlet boundary conditions. Under adequate assumptions on f we prove that the extremal solution of this problem is in the energy class independently of the domain. We also obtain Lq and W1,q estimates for s...

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Detalhes bibliográficos
Autor principal: Sanchón, Manel (author)
Formato: article
Idioma:eng
Publicado em: 2007
Assuntos:
Texto completo:http://hdl.handle.net/10316/4603
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/4603