A Nonlinear Klein–Gordon– Maxwell System in 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 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 Involving Singular and Vanishing Potentials. Z. Anal. Anwend. 38 (2019), no. 2, pp. 231–247

DOI 10.4171/ZAA/1636