Abstract

We consider the following nonlinear fractional Choquard equation,0.1{(−Δ)su+u=(1+a(x))(Iα ∗ (|u| p))|u| p−2uin RN,u(x)→0as |x|→∞,here , , and . Assume and satisfying suitable assumptions but not requiring any symmetry property on a(x), we prove the existence of ground state solutions for (0.1).

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