TITLE:
Existence of Solutions for Klein-Gordon-Maxwell Equations Involving Hardy-Sobolev Critical Exponents
AUTHORS:
Xin Zhang
KEYWORDS:
Existence of Solutions, Klein-Gordon-Maxwell Equations, Hardy-Sobolev Critical Exponents
JOURNAL NAME:
Open Access Library Journal,
Vol.8 No.9,
August
30,
2021
ABSTRACT: We investigate the existence of solutions for Klein-Gordon-Maxwell equations involving Hardy-Sobolev critical exponents. By means of the Ekeland’s variational principle and the Mountain Pass Theorem, we obtain that there is at least a nontrivial solution for the subcritical system. Then we prove that there are at least two different solutions for the critical system.