Multiple critical points for a class of nonlinear functionals
Analysis of PDEs
2010-06-04 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1004.3219,
title = {Multiple critical points for a class of nonlinear functionals},
author = {Antonio Azzollini and Pietro d'Avenia and Alessio Pomponio},
journal= {arXiv preprint arXiv:1004.3219},
year = {2010}
}
Comments
13 pages