Abstract. In this paper, we consider the critical quasilinear Schrödinger equations of the formwhere N ≥ 3, 2 * := 2N/(N − 2) and g(u) is of subcritical growth. We prove the existence of positive bound states which concentrate around a local minimum point of V as ε → 0 + .
Mathematics Subject Classification (2000). 35B33, 35J20, 35J60, 35Q55.