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

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

2010-12-16

arxiv.org/abs/1012.3717v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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