Multiple solutions for a class of fractional Schrödinger equations in RNRN

In this paper we study the fractional Schrödinger type equations (−Δ)su+V(x)u=f(x,u),x∈RN. The nonlinearity ff is assumed to be asymptotically linear or superquadratic growth. Using variant Fountain theorems, we prove the existence of infinitely many nontrivial high or small energy solutions.