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Title: Boundedness of the extremal solution of some p-Laplacian problems
Authors: Sanchón, Manel 
Keywords: p-Laplacian; Extremal solution; Regularity
Issue Date: 2007
Keywords: p-Laplacian; Extremal solution; Regularity
Issue Date: 2007
Citation: Nonlinear Analysis: Theory, Methods & Applications. 67:1 (2007) 281-294
Abstract: 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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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