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Existence of solutions for Klein-Gordon-Born-Infeld system with steep potential well

Existence of solutions for Klein-Gordon-Born-Infeld system with steep potential well

In this paper we consider the following Klein-Gordon equation coupled with Born-Infeld theory { − ∆ u +( λA ( x )+ 1 ) u − ( 2 ω + ϕ ) ϕu = f ( x , u ) in R 3 , ∆ ϕ + β ∆ 4 …