Existence of positive ground state solutions of critical nonlinear Klein–Gordon–Maxwell systems

In this paper we study the following nonlinear Klein–Gordon–Maxwell system \begin{equation*} \begin{cases}-\Delta u+ [m_0^2-(\omega+\varphi)^2]u=f(u)&\text{in}~ \mathbb R^3,\\ \Delta \varphi=(\omega+\varphi)u& \text{in}~ \mathbb R^3, \end{cases} \end{equation*} where $0<\omega< m_0$....

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Authors:	Liping Xu, Haibo Chen
Format:	Article
Language:	English
Published:	University of Szeged 2022-09-01
Subjects:	klein–gordon–maxwell system general critical growth positive ground state solutions variational methods
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9833