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In this paper, we consider the following nonlinear Choquard equation driven by fractional Laplacian(  −  Δ  )   s   u  +  λ  V  (  x  )  u  =  (   I  α   ∗  F  (  u  )  )  f  (  u  )inR  N   ,    where  V ( x ) is a nonnegative continuous potential function, 0< s <1,  N ≥2, ( N −4 s ) + < 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  i  n  t ( V  −1 (0)) as  λ  large enough.

Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well