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Existence and Related Properties of Solutions for Klein–Gordon–Maxwell Systems

Author

Listed:
  • Xiao-Qi Liu

    (School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China
    These authors contributed equally to this work.)

  • Chun-Lei Tang

    (School of Statistics and Mathematics, Southwest University, Chongqing 400715, China
    These authors contributed equally to this work.)

Abstract

This paper aims to present the application of variational methods in studying the existence and related properties of solutions for Klein–Gordon–Maxwell systems through a literature review. First, we give an introduction and variational framework for the Klein–Gordon–Maxwell system. Second, we review the existence and nonexistence of solutions for autonomous Klein–Gordon–Maxwell systems under subcritical growth, critical growth and zero-mass conditions. Third, we introduce studies on the existence and properties of solutions for Klein–Gordon–Maxwell systems classified according to potential functions. Finally, we review the existence of solutions for Klein–Gordon–Maxwell systems in two-dimensional space.

Suggested Citation

  • Xiao-Qi Liu & Chun-Lei Tang, 2025. "Existence and Related Properties of Solutions for Klein–Gordon–Maxwell Systems," Mathematics, MDPI, vol. 13(12), pages 1-28, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:12:p:2037-:d:1683127
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