Existence and concentration behavior of positive solutions for a quasilinear Schrödinger equation

In this paper, we study the existence and concentration of positive solutions for the quasilinear Schrödinger equation−h2Δu+V(x)u−h2Δ(u2)u=K(x)|u|p−2u,x∈RN, where h>0h>0 is a small real parameter, N⩾3N⩾3, 4