A Berestycki–Lions type result and applications

Claudianor O. Alves; Ronaldo C. Duarte; Marco A.S. Souto

doi:10.4171/rmi/1104

JournalsrmiVol. 35, No. 6pp. 1859–1884

A Berestycki–Lions type result and applications

Claudianor O. Alves
Universidade Federal de Campina Grande, Brazil
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Ronaldo C. Duarte
Universidade do Estado do Rio Grande do Norte, Mossoró, Brazil
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- zbMATH Open
Marco A.S. Souto
Universidade Federal de Campina Grande, Brazil
- MathSciNet
- zbMATH Open

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Abstract

In this paper we show an abstract theorem about the existence of critical points for a functional $I$ , which permits 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 $I$ called Pohozaev set.

Cite this article

Claudianor O. Alves, Ronaldo C. Duarte, Marco A.S. Souto, A Berestycki–Lions type result and applications. Rev. Mat. Iberoam. 35 (2019), no. 6, pp. 1859–1884

DOI 10.4171/RMI/1104