Existence of ground state solutions for an asymptotically 2-linear fractional Schrodinger-Poisson system

In this paper, we investigate the following fractional Schrodinger-Poisson system: {(-Delta)(s) u + u + phi u = f(u), in R-3, (-Delta)(t) phi = u(2), in R-3, where 3/4 < s < 1, 1/2 < t < 1, and f is a continuous function, which is superlinear at zero, with f(tau) tau >= 3 F(tau) >= 0, F(tau) = integral(tau)(0) f(s) ds, tau is an element of R. We prove that the system admits a ground state solution under the asymptotically 2-linear condition. The result here extends the existing study.