Klein–Gordon–Maxwell–Proca type systems in the electro-magneto-static case: the high dimensional case

  • Emmanuel HebeyEmail author
  • Pierre-Damien Thizy


We investigate Klein–Gordon–Maxwell–Proca type systems in the context of closed n-dimensional manifolds with \(n \ge 4\). We prove existence of solutions and compactness of the system both in the subcritical and in the critical case.

Mathematics Subject Classification

35J47 58J05 



The authors would like to express their sincere gratitude to the referee for his/her useful comments. The second author is supported by the ANR-BLADE-JC.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Département de MathématiquesUniversité de Cergy-PontoiseCergy-Pontoise CedexFrance
  2. 2.Institut Camille JordanUniversité Claude Bernard Lyon 1Villeurbanne CedexFrance

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