A Nonlinear Klein-Gordon-Maxwell System in R-2 Involving Singular and Vanishing Potentials

摘要

In this paper, a nonlinear Klein-Gordon-Maxwell system in R-2 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.