Infinitely many weak solutions for a fractional Schrödinger equation

In this paper we are concerned with the fractional Schrödinger equation (−Δ)αu+V(x)u=f(x,u), x∈RN, where 0<α<1, N>2α, (−Δ)α stands for the fractional Laplacian of order α, V is a positive continuous potential, and f is a continuous subcritical nonlinearity. We obtain the existence of infinitely many weak solutions for the above problem by the fountain theorem in critical point theory.