Concentrating solutions of nonlinear fractional Schrödinger equation with potentials

In this paper we study the concentration phenomenon of solutions for the nonlinear fractional Schrödinger equationε2s(−Δ)su+V(x)u=K(x)|u|p−1u,x∈RN, where ε   is a positive parameter, s∈(0,1)s∈(0,1), N≥2N≥2 and 1