Author(s):
Sanchón, Manel 
Date: 2007
Persistent ID: http://hdl.handle.net/10316/4603
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): p-Laplacian; Extremal solution; Regularity
Document details
Boundedness of the extremal solution of some p-Laplacian problems
Description
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 such a solution. Moreover, we prove its boundedness for some range of dimensions depending on the nonlinearity f. http://www.sciencedirect.com/science/article/B6V0Y-4KFV38H-1/1/cea49519619442ca6f3831d7928ae4e4
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 such a solution. Moreover, we prove its boundedness for some range of dimensions depending on the nonlinearity f. http://www.sciencedirect.com/science/article/B6V0Y-4KFV38H-1/1/cea49519619442ca6f3831d7928ae4e4
Document Type
Article
Language English
Language English
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