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arXiv · 1708.02263

A Berestycki-Lions type result and applications

Claudianor O. Alves·Ronaldo C. Duarte·Marco A. S. Souto
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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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Claudianor O. Alves, Ronaldo C. Duarte, Marco A. S. Souto. 2017-08-07. A Berestycki-Lions type result and applications. https://arxiv.org/abs/1708.02263

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