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 in R(3) and to the nonlinear elliptic Kirchhoff equation in R(N) assuming on the local nonlinearity the general hypotheses introduced by Berestycki and Lions
Multiple critical points for a class of nonlinear functionals
D'AVENIA, Pietro;POMPONIO, Alessio
2011-01-01
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 in R(3) and to the nonlinear elliptic Kirchhoff equation in R(N) assuming on the local nonlinearity the general hypotheses introduced by Berestycki and LionsFile in questo prodotto:
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