English

A global minimization trick to solve some classes of Berestycki-Lions type problems

Analysis of PDEs 2019-07-16 v1

Abstract

In this paper we show an abstract theorem that can be used to prove the existence of solution for a class of elliptic equation considered in Berestycki-Lions \cite{berest} and related problems. Moreover, we use the abstract theorem to show that a class of zero mass problems has multiple solutions, which is new for this type of problem.

Keywords

Cite

@article{arxiv.1907.05952,
  title  = {A global minimization trick to solve some classes of Berestycki-Lions type problems},
  author = {Claudianor Oliveira Alves},
  journal= {arXiv preprint arXiv:1907.05952},
  year   = {2019}
}
R2 v1 2026-06-23T10:20:00.712Z