Author(s)

Xin Zhang

School of Mathematics, Liaoning Normal University, Dalian, China.

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.

Existence of Solutions, Klein-Gordon-Maxwell Equations, Hardy-Sobolev Critical Exponents

Zhang, X. (2021) Existence of Solutions for Klein-Gordon-Maxwell Equations Involving Hardy-Sobolev Critical Exponents. Open Access Library Journal, 8, 1-18. doi: 10.4236/oalib.1107709.