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 Schrödinger–Maxwell system in R3 and to the nonlinear elliptic Kirchhoff equation in RN assuming on the local nonlinearity the general hypotheses introduced by Berestycki and Lions.
Multiple critical points for a class of nonlinear functionals
AZZOLLINI, ANTONIO;
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 Schrödinger–Maxwell system in R3 and to the nonlinear elliptic Kirchhoff equation in RN assuming on the local nonlinearity the general hypotheses introduced by Berestycki and Lions.File in questo prodotto:
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