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

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) - ChileFondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) - ChileFONDECYT[1080500]Convenio de desempeno UTA MECESUP 2Convenio de desempeno UTA MECESUP 2FapespFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq Brazi