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

Azzollini, A. ; d'Avenia, P. ; Pomponio, A.

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010), p. 779-791 / Harvested from Numdam

Résumé

Dans cet article on démontre l'existence d'une solution non-banale et positive pour les équations non-linéaires de Schrödinger–Maxwell dans $ {\mathbb{R}}^{3}$ en supposant que le terme non-linéaire satisfait les hypothèses introduites par Berestycki et Lions.

Abstract

In this paper we prove the existence of a nontrivial solution to the nonlinear Schrödinger–Maxwell equations in $ {\mathbb{R}}^{3}$, assuming on the nonlinearity the general hypotheses introduced by Berestycki and Lions.

Détail

Publié le : 2010-01-01

MR 2595202 | Zbl 1187.35231

DOI : https://doi.org/10.1016/j.anihpc.2009.11.012

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