Existence of ground state solutions of Nehari-Pohozaev type for fractional Schrödinger-Poisson systems with a general potential

In this paper, we consider the following fractional Schrödinger-Poissonproblem (−Δ)su+V(x)u+ϕu=f(u)inR3,(−Δ)tϕ=u2inR3,where 03, the potential V(x) is weakly differentiable and f∈C(R,R). By introducing some new tricks, we prove that the problem admits a ground state solution of Nehari-Pohozaev type under mild assumptions on V and f. The results here extend the existing study.