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) no. 2, pp. 779-791.

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

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

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