Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition

In this paper, we study the following quasilinear Schrödinger equation −Δu+V(x)u+κ2Δ(u2)u=f(u),x∈RN,where N≥3, κ>0 and V:RN→R satisfies suitable assumptions. By using a change of variable, we obtain the existence of positive solutions, which use the method developed by Jeanjean (1999).