Existence of Solutions for Klein-Gordon-Maxwell Equations Involving Hardy-Sobolev Critical Exponents - Open Access Library Journal

OALibJ > Vol.8 No.9, September 2021

Open Access Library Journal

Volume 8, Issue 9 (September 2021)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 1.18 Citations

Existence of Solutions for Klein-Gordon-Maxwell Equations Involving Hardy-Sobolev Critical Exponents ()

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DOI: 10.4236/oalib.1107709 112 Downloads 546 Views Citations

Author(s)

Xin Zhang

Affiliation(s)

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

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.

KEYWORDS

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

Share and Cite:

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.

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