Multiple critical points for a class of nonlinear functionals

Details Multiple critical points for a class of nonlinear functionals Multiple critical points for a class of nonlinear functionals

2010-04-19

arxiv.org/abs/1004.3219v2

Mathematics

Analysis of PDEs

13 pages

Scientific paper

In this paper we prove a multiplicity result concerning the critical points
of a class of functionals involving local and nonlocal nonlinearities. We apply
our result to the nonlinear Schrodinger-Maxwell system and to the nonlinear
elliptic Kirchhoff equation assuming on the local nonlinearity the general
hypotheses introduced by Berestycki and Lions.

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