Positive solutions for a nonlinear elliptic problem with strong lack of compactness

Riccardo Molle

Positive solutions for a nonlinear elliptic problem with strong lack of compactness

Analysis of PDEs 2013-10-28 v1

Authors: Riccardo Molle

Abstract

This paper deals with the lack of compactness in nonlinear elliptic problems $(P)$ . In particular, a domain $\Omega$ is provided where not converging Palais-Smale sequences exist at every energy level. Nevertheless, it is proved that problem $(P)$ has infinitely many solutions on $\Omega$ .

Keywords

positive solutions of elliptic equations elliptic partial differential equations semilinear elliptic equations

Cite

@article{arxiv.1310.6984,
  title  = {Positive solutions for a nonlinear elliptic problem with strong lack of compactness},
  author = {Riccardo Molle},
  journal= {arXiv preprint arXiv:1310.6984},
  year   = {2013}
}

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