English

Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds

Analysis of PDEs 2010-12-30 v2

Abstract

Static Klein-Gordon-Maxwell-Proca systems are massive versions of the electrostatic Klein-Gordon-Maxwell Systems. The vector field in these systems inherits a mass and is governed by the Proca action which generalizes that of Maxwell. Following previous work by Druet & al. we prove existence and uniform bounds for such systems in the double critical case of dimension 4.

Cite

@article{arxiv.1012.3717,
  title  = {Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds},
  author = {Emmanuel Hebey and Trong Tuong Truong},
  journal= {arXiv preprint arXiv:1012.3717},
  year   = {2010}
}
R2 v1 2026-06-21T17:00:00.126Z