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

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Publicado en:Mathematics vol. 13, no. 12 (2025), p. 2037-2065
Autor principal: Xiao-Qi, Liu
Otros Autores: Chun-Lei, Tang
Publicado:
MDPI AG
Materias:
Investigations
Electromagnetism
Variational methods
Literature reviews
Acceso en línea:Citation/Abstract
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Resumen: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.
ISSN:2227-7390
DOI:10.3390/math13122037
Fuente:Engineering Database