Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with H1-supercritical exponent

In this paper, we obtain the asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with H1H1-supercritical exponent. To this aim, the uniqueness and the non-degeneracy of positive solutions of the corresponding limit equation, which is a zero mass problem, play important roles. Thus we also show the uniqueness and non-degeneracy result for a class of zero mass problems by applying ODE techniques.