A Berestycki–Lions type result and applications

Claudianor O. Alves ^[1] ; Ronaldo C. Duarte ^[2] ; Marco A.S. Souto ^[1]
1. [1] Universidade Federal de Campina Grande
  
  Universidade Federal de Campina Grande
  
  Brasil
2. [2] Universidade do Estado do Rio Grande do Norte
  
  Universidade do Estado do Rio Grande do Norte
  
  Brasil
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 6, 2019, págs. 1859-1884
Idioma: inglés
DOI: 10.4171/rmi/1104
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Resumen
- 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.