Multiple critical points for a class of nonlinear functionals |
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| Authors: | A. Azzollini P. d��Avenia A. Pomponio |
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| Affiliation: | 1. Dipartimento di Matematica ed Informatica, Università degli Studi della Basilicata, Via dell’Ateneo Lucano 10, 85100, Potenza, Italy
2. Dipartimento di Matematica, Politecnico di Bari, Via E. Orabona 4, 70125, Bari, Italy
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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 Schr?dinger–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. |
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