4.2 Article

A Berestycki-Lions type result and applications

Journal

REVISTA MATEMATICA IBEROAMERICANA
Volume 35, Issue 6, Pages 1859-1884

Publisher

EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/RMI/1104

Keywords

Nonlinear elliptic equations; variational methods; nonsmooth analysis

Categories

Funding

  1. CNPq/Brazil [304804/2017-7, 306082/2017-9]
  2. CAPES

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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.

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