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Solutions to the critical Klein-Gordon-Maxwell system with external potential. (English) Zbl 1375.35156
Summary: In this paper, we consider the critical Klein-Gordon-Maxwell system with external potential. When the potential well is steep, by using the penalization technique and the elliptic estimate of solutions, we prove the existence and concentration phenomenon of solutions. When the potential well may be not steep, we can also obtain the existence of solutions.
##### MSC:
 35J47 Second-order elliptic systems
Full Text:
##### References:
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