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 / Azzollini, Antonio; D'Avenia, Pietro; Pomponio, Alessio. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 190:3(2011), pp. 507-523. [10.1007/s10231-010-0160-3]
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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