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

2019/07/12 by Alves, Claudianor Oliveira
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.05952

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 \citeberest 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.

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