Existence of infinitely many high energy solutions for a fractional Schrödinger equation in RN

Abstract

In this paper, we study the following fractional Schrödinger equations (−Δ)su+V(x)u=f(x,u),x∈RN, where s∈(0,1), N>2s, (−Δ)s stands for the fractional Laplacian. Under more relaxed assumption on f(x,u), we obtain a new existence result of infinitely many high energy solutions via Symmetric Mountain Pass Theorem, which unifies and improves Theorem 1.2. in Teng (2015).