Klein-Gordon-Maxwell equations in high dimensions

2014/02/07 by Pierre-Damien Thizy, Thizy, Pierre-Damien
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1402.1574

arXiv admin note: text overlap with arXiv:1012.3717, arXiv:1012.3715 by other authors

arxiv created 2014/02/07 · arxiv updated 2014/02/10

Abstract

We prove the existence of a mountain-pass solution and the a priori bound property for the electrostatic Klein-Gordon-Maxwell equations in high dimension.

Citations

• Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds
• Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces

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