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arXiv · 1004.3219

Multiple critical points for a class of nonlinear functionals

Antonio Azzollini·Pietro d'Avenia·Alessio Pomponio
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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.

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Antonio Azzollini, Pietro d'Avenia, Alessio Pomponio. 2010-06-03. Multiple critical points for a class of nonlinear functionals. https://arxiv.org/abs/1004.3219

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