Ground state solutions of Nehari-Pohozaev type for a fractional Schrodinger-Poisson system with critical growth

We study the following nonlinear fractional Schrodinger-Poisson system with critical growth: {(-Delta)(s)u + u + phi u = f(u) + vertical bar u vertical bar(2)*(s-2) u, x is an element of R-3, (-Delta)(t)phi = u(2), x is an element of R-3, (0.1) where 0 < s, t < 1, 2s + 2t > 3 and 2(s)* = 6 3-2s is the critical Sobolev exponent in R-3. Under some more general assumptions on f, we prove that (0.1) admits a nontrivial ground state solution by using a constrained minimization on a Nehari-Pohozaev manifold.