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An improved result for Klein–Gordon–Maxwell systems with steep potential well

In this paper, we intend to study the following Klein‐Gordon‐Maxwell system: −Δu+(λA(x)+1)u−(2ω+φ)φu=f(u),x∈ℝ3,Δφ=(ω+φ)u2,x∈ℝ3. By adopting some new analytical skills and employing variational methods, the existence of a ground state solution for the above system is established under suitable conditions on A and f. The range of ω is more wider than Liu et al., Theorem 1.1