Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros


Autoria(s): ITURRIAGA, Leonelo; LORCA, Sebastian; MASSA, Eugenio
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2010

Resumo

In this paper we show the existence of multiple solutions to a class of quasilinear elliptic equations when the continuous non-linearity has a positive zero and it satisfies a p-linear condition only at zero. In particular, our approach allows us to consider superlinear, critical and supercritical nonlinearities. (C) 2009 Elsevier Masson SAS. All rights reserved.

FONDECYT[11080203]

Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) - Chile

Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) - Chile

FONDECYT[1080500]

Convenio de desempeno UTA MECESUP 2

Convenio de desempeno UTA MECESUP 2

Fapesp

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

CNPq Brazil

Identificador

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, v.27, n.2, p.763-771, 2010

0294-1449

http://producao.usp.br/handle/BDPI/28822

10.1016/j.anihpc.2009.11.003

http://dx.doi.org/10.1016/j.anihpc.2009.11.003

Idioma(s)

eng

Publicador

GAUTHIER-VILLARS/EDITIONS ELSEVIER

Relação

Annales de l Institut Henri Poincare-analyse Non Lineaire

Direitos

restrictedAccess

Copyright GAUTHIER-VILLARS/EDITIONS ELSEVIER

Palavras-Chave #QUASILINEAR ELLIPTIC-EQUATIONS #REGULARITY #EXISTENCE #Mathematics, Applied
Tipo

article

original article

publishedVersion