Nontrivial solution for Schrodinger-Poisson equations involving the fractional Laplacian with critical exponent

This paper deals with a class of nonlocal Schrodinger equations with critical exponent {(-Delta)(s)u + V(x)u - K(x)phi vertical bar u vertical bar(2s)*(-3) u = f(x, u), in R-3, (-Delta)(s)phi = K(x)vertical bar u vertical bar(2s)*(-1), in R-3. By employing the mountain pass theorem, concentration-compactness principle and approximation method, the existence of nontrivial solution is obtained under appropriate assumptions on V, K and f.