INVESTIGADORES
SILVA Analia Concepcion
artículos
Título:
Multiple solutions for the p-laplace operator with critical growth
Autor/es:
PABLO DE NÁPOLI,JULIAN FERNÁNDEZ BONDER, ANALÍA SILVA
Revista:
JOURNAL OF NONLINEAR ANALYSIS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Año: 2009 vol. 71 p. 6283 - 6289
ISSN:
0362-546X
Resumen:
In this paper we show the existence of at least three nontrivial solutions to the following quasilinear elliptic equation $-Delta_p u = |u|^{p^*-2}u + lambda f(x,u)$ in a smooth bounded domain $Omega$ of $R^N$ with homogeneous Dirichlet boundary conditions on $partialOmega$, where $p^*=Np/(N-p)$ is the critical Sobolev exponent and $Delta_p u = mbox{div}(| abla u|^{p-2} abla u)$ is the $p-$laplacian. The proof is based on variational arguments and the classical concentration compactness method.