In this paper, we consider the following nonlinear Choquard equation driven by fractional Laplacianwhere V (x) is a nonnegative continuous potential function, 0 < s < 1, N > 2s, (N − 4s) + < α < N and λ is a positive parameter. By variational methods, we prove the existence of least energy solution which localizes near the bottom of potential well int V −1 (0) as λ large enough.
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