Ground state solutions for nonautonomous Schrodinger-Poisson systems involving critical exponent

For the Schrodinger-Poisson system with critical exponent of the version -Delta u + V(x)u + phi u = a(x) f (u) u(5) in R-3 and -Delta phi = u(2) in R-3, we prove the existence of one ground state solution when lim(vertical bar x vertical bar ->infinity) V(x) = V-infinity > 0 and V(x) <= V-infinity + C(1)e(-b vertical bar x vertical bar) for some b > 0 and vertical bar x vertical bar large.