Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse-power potential
报告人：Noriyoshi Fukaya 【Tokyo University of Science】
时 间：2019-03-12 15:30-16:30
Tokyo University of Science
In this talk, we consider the uniqueness of ground states for stationary nonlinear Schrödinger equations with a focusing power-type nonlinearity and an attractive inverse-power potential. We prove that all ground states are positive up to phase shift, radial, and decreasing.
Moreover, we prove the uniqueness of positive radial solutions.