TY - JOUR T1 - Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case AU - Hebey , Emmanuel AU - Thizy , Pierre-Damien JO - Journal of Partial Differential Equations VL - 2 SP - 119 EP - 158 PY - 2018 DA - 2018/07 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n2.2 UR - https://global-sci.org/intro/article_detail/jpde/12514.html KW - Elliptic systems KW - Klein-Gordon-Maxwell-Proca equations KW - critical exponent KW - compactness KW - stability AB -

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.