Multiple critical points for a class of nonlinear functionals

Preprint

19 April 2010

preprint
Published by arXiv in arXiv

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.

Keywords

SYSTEM AND TO THE NONLINEAR
NONLOCAL NONLINEARITIES
NONLINEAR FUNCTIONALS
HYPOTHESES INTRODUCED
NONLINEAR ELLIPTIC
MULTIPLE CRITICAL
EQUATION ASSUMING
CRITICAL POINTS

All Related Versions

Version 1, 2010-04-19, ArXiv
Version 2, 2010-06-03, ArXiv

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