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Type: Artigo de periódico
Title: Sobolev spaces of symmetric functions and applications
Author: de Figueiredo, DG
dos Santos, EM
Miyagaki, OH
Abstract: We prove sharp pointwise estimates for functions in the Sobolev spaces of radial functions defined in a ball. As a consequence. we obtain some imbeddings of such Sobolev spaces in weighted L-q-spaces. We also prove similar imbeddings for Sobolev spaces of functions with partial symmetry. Our techniques lead to new Hardy type inequalities. It is important to observe that we do not require any vanishing condition on the boundary to obtain all our estimates. We apply these imbeddings to obtain radial solutions and partially symmetric solutions for a biharmonic equation of the Henon type under both Dirichlet and Navier boundary conditions. The delicate question of the regularity of these solutions is also established. (C) 2011 Elsevier Inc. All rights reserved.
Subject: Sobolev spaces
Symmetric functions
Non-standard Sobolev imbeddings
Hardy type inequalities
Biharmonic equation
Supercritical problems
Henon type weights
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jfa.2011.08.016
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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