Infinitely many small energy solutions for a modified Kirchhoff-type equation in RN

In the present paper, we study the following Schrödinger-Kirchhoff quasilinear problem (Q)−(a+b∫RN∣∇u∣2dx)△u−u△(u2)+V(x)u=f(x,u),x∈RN, where a>0, b≥0, N≥3 and f∈C(RN×R,R), which includes the Modified Nonlinear Schrödinger Equation. We prove the existence of infinitely many small energy solutions for equation (Q) by applying Clark's Theorem to a perturbation functional.