On the existence of Ground states for a nonlinear Klein-Gordon-Maxwell type system

Mathieu Colin (1, 2, 3) , Tatsuya Watanabe (4)

1 Bordeaux INP - Institut Polytechnique de Bordeaux
2 CARDAMOM - Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts
3 IMB - Institut de Mathématiques de Bordeaux
4 Kyoto Sangyo University

In this paper, we study a nonlinear Klein-Gordon equation coupled with a Maxwell equation. Introducing a new constraint minimization problem, we prove the existence of ground states for an associated stationary elliptic system.

Domaines: Equations aux dérivées partielles [math.AP]

Mathieu Colin, Tatsuya Watanabe. On the existence of Ground states for a nonlinear Klein-Gordon-Maxwell type system. Funkcialaj ekvacioj.Serio internacia, 2018, 61 (4), ⟨10.1619/fesi.61.1⟩. ⟨hal-01378611⟩