Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/76517
Type: Artigo de periódico
Title: A note on the strong maximum principle and the compact support principle
Author: Felmer, P
Montenegro, M
Quaas, A
Abstract: In this note we are concerned with the strong maximum principle (SMP) and the compact support principle (CSP) for non-negative solutions to quasilinear elliptic inequalities of the form div (A(vertical bar del i vertical bar del u) + G(vertical bar del u vertical bar) - f(u) <= 0 in Omega, div (A(vertical bar del i vertical bar del u) + G(vertical bar del u vertical bar) - f(u) >= 0 in R(N)\B(r)(0), respectively. We give new conditions on the data (A, G.f) to obtain (SMP) and (CSP). When these conditions are particularized to the m-Laplacian and pure power nonlinearities we completely classify the data according to the validity of the (CSP) or the (SMP). In doing so we clarify the general situation and we consider a case not covered in the literature. (c) 2008 Elsevier Inc. All rights reserved.
Subject: Maximum principle
Compact support
Uniqueness
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jde.2008.02.034
Date Issue: 2009
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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