Ground state solutions of Pohoz̆aev type for fractional Choquard equations with general nonlinearities

Abstract

In this paper, we study the fractional Choquard equation (−Δ)su+u=(|x|−μ∗F(u))f(u),inRN,where N≥3, 0<s<1, 0<μ<min{N,4s}, and f∈C(R,R) satisfies the general Berestycki–Lions conditions. Combining constrained variational method with deformation lemma, we obtain a ground state solution of Pohoz̆aev type for the above equation. The result improves some ones in Shen et al. (2016).