Abstract
In this paper, we are concerned with the Klein–Gordon–Maxwell system −Δu + (λa(x) + 1)u − (2ω + ϕ)ϕu = f(x, u) in R3 and Δϕ = (ω + ϕ)u2 in R3, where u and ϕ are unknowns and f is an asymptotically linear term. We prove the existence of positive solutions based on variational methods and some analytical techniques. Furthermore, the properties of decay estimates and asymptotic behavior for the positive solution are studied here.
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