A Berestycki-Lions type result and applications

2017/08/07 by Alves, Claudianor O., Duarte, Ronaldo C., Souto, Marco A. S.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.02263

Abstract

In this paper we show an abstract theorem involving the existence of critical points for a functional I, which permit us to prove the existence of solutions for a large class of Berestycki-Lions type problems. In the proof of the abstract result we apply the deformation lemma on a special set associated with I, which we call of Pohozaev set.

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