JournalsaihpcVol. 27, No. 2pp. 779–791

On the Schrödinger–Maxwell equations under the effect of a general nonlinear term

  • A. Pomponio

    Dipartimento di Matematica, Politecnico di Bari, Via E. Orabona 4, I-70125 Bari, Italy

  • A. Azzollini

    Dipartimento di Matematica ed Informatica, Università degli Studi della Basilicata, Via dell'Ateneo Lucano 10, I-85100 Potenza, Italy

  • P. d'Avenia

    Dipartimento di Matematica, Politecnico di Bari, Via E. Orabona 4, I-70125 Bari, Italy
On the Schrödinger–Maxwell equations under the effect of a general nonlinear term cover
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Abstract

In this paper we prove the existence of a nontrivial solution to the nonlinear Schrödinger–Maxwell equations in , assuming on the nonlinearity the general hypotheses introduced by Berestycki and Lions.

Résumé

Dans cet article on démontre l'existence d'une solution non-banale et positive pour les équations non-linéaires de Schrödinger–Maxwell dans en supposant que le terme non-linéaire satisfait les hypothèses introduites par Berestycki et Lions.

Cite this article

A. Pomponio, A. Azzollini, P. d'Avenia, On the Schrödinger–Maxwell equations under the effect of a general nonlinear term. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 2, pp. 779–791

DOI 10.1016/J.ANIHPC.2009.11.012