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Zeitschrift für Analysis und ihre Anwendungen


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Volume 37, Issue 1, 2018, pp. 39–50
DOI: 10.4171/ZAA/1601

Published online: 2018-01-08

Infinitely many Solutions for Klein–Gordon–Maxwell System with Potentials Vanishing at Infinity

Shang-Jie Chen[1] and Lin Li[2]

(1) Chongqing Technology and Business University, China
(2) Chongqing Technology and Business University, China

In this paper, a nonlinear Klein–Gordon–Maxwell system with solitary waves solution is considered. Using critical point theory, we establish sufficient conditions for the existence of Infinitely many radial solitary waves solutions.

Keywords: Klein–Gordon–Maxwell system, variational methods, Fountain Theorem

Chen Shang-Jie, Li Lin: Infinitely many Solutions for Klein–Gordon–Maxwell System with Potentials Vanishing at Infinity. Z. Anal. Anwend. 37 (2018), 39-50. doi: 10.4171/ZAA/1601