Ground states for fractional Schrodinger equations with critical growth

In this paper, we study the following critical fractional Schrodinger equation: (-Delta(s) u + V (x)u = vertical bar u vertical bar(2s)*(-2)u + lambda f(x, u), x is an element of R-N, where lambda > 0, 0 < s < 1, N > 2s, 2(s)* = 2N/N-2s, (-Delta)(s) denotes the fractional Laplacian of order s, and f is a continuous superlinear but subcritical function. When V and f are asymptotically periodic in x, we prove that the equation has a ground state solution for large lambda by the Nehari method.