A Nonlinear Klein–Gordon– Maxwell System in Involving Singular and Vanishing Potentials
Lin Li
Chongqing Technology and Business University, ChinaFrancisco S.B. Albuquerque
Universidade Estadual da Paraíba, Campina Grande, Brazil
Abstract
In this paper, a nonlinear Klein–Gordon–Maxwell system in and involving singular and vanishing potentials is considered. Under some mild assumptions on the potentials and nonlinearity, using variational methods and a Trudinger–Moser-type inequality, we establish sufficient conditions for the existence of solution.
Cite this article
Lin Li, Francisco S.B. Albuquerque, A Nonlinear Klein–Gordon– Maxwell System in Involving Singular and Vanishing Potentials. Z. Anal. Anwend. 38 (2019), no. 2, pp. 231–247
DOI 10.4171/ZAA/1636