INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRODINGER EQUATIONS IN RN

Using variational methods we prove the existence of infinitely many solutions to the fractional Schrodinger equation (-Delta)(s)u + V(x)u = f(x,u), x is an element of R-N, where N >= 2, s is an element of (0, 1). (-Delta)(s) stands for the fractional Laplacian. The potential function satisfies V(x) >= V-0 > 0. The nonlinearity f(x, u) is superlinear, has subcritical growth in u, and may or may not satisfy the (AR) condition.