Artículos de revistas
A note on the strong maximum principle and the compact support principle
Registro en:
Journal Of Differential Equations. Academic Press Inc Elsevier Science, v. 246, n. 1, n. 39, n. 49, 2009.
0022-0396
WOS:000261314600003
10.1016/j.jde.2008.02.034
Autor
Felmer, P
Montenegro, M
Quaas, A
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) 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. 246 1 39 49 Fondecyt [1070314, 1070264] FONDAP de Matematicas Aplicadas USM [12.05.24] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fondecyt [1070314, 1070264] USM [12.05.24] FAPESP [2005/55262-3]