A Nonlinear Klein–Gordon– Maxwell System in $\mathbb{R}^{2}$ Involving Singular and Vanishing Potentials

Francisco S.B. Albuquerque; Lin Li

doi:10.4171/zaa/1636

JournalszaaVol. 38, No. 2pp. 231–247

A Nonlinear Klein–Gordon– Maxwell System in $R^{2}$ Involving Singular and Vanishing Potentials

Francisco S.B. Albuquerque
Universidade Estadual da Paraíba, Campina Grande, Brazil
Lin Li
Chongqing Technology and Business University, China

$A Nonlinear Klein–Gordon– Maxwell System in $\mathbb{R}^{2}$ Involving Singular and Vanishing Potentials cover$

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Abstract

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.

Cite this article

Francisco S.B. Albuquerque, Lin Li, A Nonlinear Klein–Gordon– Maxwell System in $R^{2}$ Involving Singular and Vanishing Potentials. Z. Anal. Anwend. 38 (2019), no. 2, pp. 231–247

DOI 10.4171/ZAA/1636