Soliton solutions for fractional Schrödinger equations

In this paper, we study the existence of a soliton type solution for the fractional Schrödinger equation (−Δ)su+V(x)u+[(−Δ)su2]u=λ|u|p−1u,u>0,x∈RN, where 02sN>2s, 2s∗=2NN−2s, 1