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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Bibliographic Details
Main Author: Sanchón, Manel (author)
Format: article
Language:eng
Published: 2007
Subjects:
Online Access:http://hdl.handle.net/10316/4603
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/4603