Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schr?dinger Equations

摘要

This paper is concerned with the existence of solutions to the following fractional Schr?dinger type equations: , x ∈ R~N, where the primitive of the nonlinearity f is of superquadratic growth near infinity in u and the potential V is allowed to be sign-changing. By using variant Fountain theorems, a sufficient condition is obtained for the existence of infinitely many nontrivial high energy solutions.