Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

Abstract

In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity result is also given.

18 pages, 1 figure