Abstract
In this paper we prove the existence of multiple solutions for the following nonhomogeneous Klein–Gordon equation coupled with Born–Infeld theory, {−Δu+[m2−(ω+ϕ)2]u=|u|q−2u+h(x),inR3,Δϕ+βΔ4ϕ=4π(ω+ϕ)u2,inR3, when 2<q<6.
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