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Uniqueness of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

2019-03-12 15:30

报告人: Noriyoshi Fukaya 【Tokyo University of Science】

报告人单位:

时间: 2019-03-12 15:30-16:30

地点: 卫津路校区6号楼208教

开始时间: 2019-03-12 15:30-16:30

报告人简介:

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报告人简介

Tokyo University of Science

报告内容介绍

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.

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