Existence and asymptotic behavior of nontrivial solution for Klein–Gordon–Maxwell system with steep potential well

In this paper, we consider the following nonlinear Klein–Gordon–Maxwell system with a steep potential well \begin{equation*} \begin{cases} -\Delta u+(\lambda a(x)+1)u-\mu(2\omega+\phi)\phi u= f(x,u),& \text{in} \, \mathbb{R}^3,\\ \Delta \phi =\mu(\omega +\phi )u^2,& \text{in} \, \mathbb{R...

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Bibliographic Details
Main Authors: Xueping Wen, Chunfang Chen
Format: Article
Language:English
Published: University of Szeged 2023-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=10159