Existence Of Infinitely Small Solutions For Fractional Laplacian Equations

In this paper, we study the existence of sequence of small solutions for the following two classes of fractional Schrodinger equations (P) and (Pi): and where 0< s< 1,2s< N, f ∈ C(RN × R,R), V € C(RN,R), Q is a measurable function on RN, (-△)s is the fractional Laplacian operator. By variational method, two results are obtained.