Localized solutions of higher topological type for semiclassical generalized quasilinear Schrödinger equations

Abstract

We consider the following semiclassical generalized quasilinear Schrödinger equationwhere V ∈ C 1 (R N ) is bounded and f is odd in v and satisfies a monotonicity condition. We establish the existence of multiple localized solutions concentrating at the set of critical points of V .