Infinitely Many Small Energy Solutions to Schrodinger-Kirchhoff Type Problems Involving the Fractional r()-Laplacian in R-N

This paper is concerned with the existence result of a sequence of infinitely many small energy solutions to the fractional r()-Laplacian equations of Kirchhoff-Schrodinger type with concave-convex nonlinearities when the convex term does not require the Ambrosetti-Rabinowitz condition. The aim of the present paper, under suitable assumptions on a nonlinear term, is to discuss the multiplicity result of non-trivial solutions by using the dual fountain theorem as the main tool.