TITLE:
Existence of Nontrivial Solution for Klein-Gordon-Maxwell System with Logarithmic Nonlinearity
AUTHORS:
Qingying Shi
KEYWORDS:
Klein-Gordon-Maxwell System, Logarithmic Nonlinearity, Variational Methods, Nontrivial Solution, Mountain Pass Theorem
JOURNAL NAME:
Open Access Library Journal,
Vol.9 No.8,
August
17,
2022
ABSTRACT: In this paper, we study the nonautonomous Klein-Gordon-Maxwell system with logarithmic nonlinearity. We obtain the existence of nontrivial solution for this system by logarithmic Sobolev inequality and variational method.