Abstract

In this paper, we study the following Klein–Gordon–Maxwell system −Δu+(λa(x)+1)u−(2ω+ϕ)ϕu=f(x,u),inR3,−Δϕ=−(ω+ϕ)u2,inR3.Using variational methods, we obtain the existence of ground state solutions under some appropriate assumptions on a and f.

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