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Zeitschrift für Analysis und ihre Anwendungen


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Volume 38, Issue 2, 2019, pp. 209–229
DOI: 10.4171/ZAA/1635

Published online: 2019-04-09

Existence Results for the Klein–Gordon–Maxwell System in Rotationally Symmetric Bounded Domains

Yuhu Wu[1], Bin Ge[2] and Olímpio H. Miyagaki[3]

(1) Dalian University of Technology, China
(2) Harbin Engineering University, China
(3) Universidade Federal de Juiz de Fora, Brazil

This paper deals with the Klein–Gordon–Maxwell system in rotationally symmetric bounded domains. We prove the existence of ground state solutions and multiplicity of solutions for Klein–Gordon–Maxwell system by using global variational methods.

Keywords: Klein-Gordon-Maxwell system, solitary waves, variational methods

Wu Yuhu, Ge Bin, Miyagaki Olímpio: Existence Results for the Klein–Gordon–Maxwell System in Rotationally Symmetric Bounded Domains. Z. Anal. Anwend. 38 (2019), 209-229. doi: 10.4171/ZAA/1635