Asymptotic uniqueness of ground states for a class of quasilinear Schrodinger equations with H-1-supercritical exponent

作者：Adachi Shinji^*; Watanabe Tatsuya

来源：Journal of Differential Equations, 2016, 260(3): 3086-3118.

DOI：10.1016/j.jde.2015.10.029

• Quasilinear elliptic equation
• Asymptotic uniqueness
• Zero mass case

In this paper, we obtain the asymptotic uniqueness of ground states for a class of quasilinear Schrodinger equations with H-1-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.

• 出版日期2016-2-5