English

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

Analysis of PDEs 2012-07-11 v1

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.

Keywords

Cite

@article{arxiv.1207.2303,
  title  = {Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings},
  author = {Antonio Azzollini and Pietro d'Avenia and Alessio Pomponio},
  journal= {arXiv preprint arXiv:1207.2303},
  year   = {2012}
}

Comments

18 pages, 1 figure