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