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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
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
3 IMB - Institut de Mathématiques de Bordeaux
4 Kyoto Sangyo University
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.
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https://hal.inria.fr/hal-01378611
Contributor : Mathieu Colin <>
Submitted on : Monday, October 10, 2016 - 2:54:45 PM
Last modification on : Saturday, August 10, 2019 - 1:15:14 AM

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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⟩

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