Abstract

This paper is concerned with a kind of nonhomogeneous Klein–Gordon–Maxwell system −Δu−(2ω+ϕ)ϕu=g(u)+h(x),inR3,Δϕ=(ω+ϕ)u2,inR3,where ω>0 is a constant and g satisfies the Berestycki–Lions type conditions. By using Ekelands variational principle, the mountain pass theorem, Pohožaev identity and some new tricks, two nontrivial solutions can be obtained here.

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