Multiple critical points for a class of nonlinear functionals (Q642106)

The authors prove a multiplicity result concerning the critical points of a class of functionals involving local and nonlocal nonlinearities. The result is applied to the nonlinear Schrödinger-Maxwell system in \(\mathbb R^{3}\) and to the nonlinear elliptic Kirchhoff equation in \(\mathbb R^{N}\) assuming on the local nonlinearity the general hypotheses introduced by Berestycki and Lions.