Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case

Emmanuel Hebey; Pierre-Damien Thizy

doi:10.4208/jpde.v31.n2.2

Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case

Authors

Emmanuel Hebey Université de Cergy-Pontoise, Département de Mathématiques, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
Pierre-Damien Thizy Institut Camille Jordan, Université Claude Bernard Lyon 1, Bâtiment Braconnier, 21 avenue Claude Bernard, 69622 Villeurbanne Cedex, France

DOI:

https://doi.org/10.4208/jpde.v31.n2.2

Keywords:

Elliptic systems;Klein-Gordon-Maxwell-Proca equations;critical exponent;compactness;stability

Abstract

We investigate a Klein-Gordon-Maxwell-Proca type system in the context of closed 3-dimensional manifolds. We prove existence of solutions and compactness of the system both in the subcritical and in the critical case.

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Published

2018-08-16

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Issue

Vol. 31 No. 2 (2018)

Section

Articles

How to Cite

Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case. (2018). Journal of Partial Differential Equations, 31(2), 119-158. https://doi.org/10.4208/jpde.v31.n2.2