This paper is mainly devoted to the critical Choquard equation on the Heisenberg group HN with potential(μP(ξ)-a)u.Where μ,a ∈ R+,P(ξ)is the nonnegative potential function.We use the method of Nehari mainfold to prove the existence of ground state solutions for μ large enough.Moreover,we consider the convergence of the solution sequence of the equation when μ→∞.
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