English

Existence of solution for a class of problem in whole $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition

Analysis of PDEs 2019-06-25 v1

Abstract

In this paper we study the existence of solution for a class of elliptic problem in whole RN\mathbb{R}^N without the well known Ambrosetti-Rabinowitz condition. Here, we do not assume any monotonicity condition on f(s)/sf(s)/s for s>0s>0.

Keywords

Cite

@article{arxiv.1906.09927,
  title  = {Existence of solution for a class of problem in whole $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition},
  author = {Claudianor O. Alves and Marco A. S. Souto},
  journal= {arXiv preprint arXiv:1906.09927},
  year   = {2019}
}