We consider the quasilinear Schrodinger equations of the form where ε > 0 is a small parameter, the nonlinearity g(u) ∈ C~1(R) is an odd function with subcritical growth and V (x) is a positive Holder continuous function which is bounded from below, away from zero, and inf_Λ V (x) < inf_(?Λ) V (x) for some open bounded subset Λ of R~N. We prove that there is an ε0 > 0 such that for all ε ∈ (0, ε0], the above mentioned problem possesses a sign-changing solution uε which exhibits concentration pro...