Infinitely many solutions for a class of fractional Schrodinger equations with sign-changing weight functions

In this paper, we study the fractional Schrodinger equation {(-Delta)(s) u + u = a(x)vertical bar u vertical bar(p-2)u + b(x)vertical bar u(vertical bar q-2)u, u is an element of H-s(R-N), where (-Delta)(s) denotes the fractional Laplacian of order s is an element of (0, 1), N > 2s, 2 < p < q < 2(s)*, and 2(s)* is the fractional critical Sobolev exponent. The weight potentials a or b is a sign-changing function and satisfies some valid assumptions. We obtain the existence of infinitely many solutions to the problem by the Nehari manifold.