t> Uniqueness of ground states for nonlinear Schr?dinger equations with attractive inverse-power potential-天津大学数学学院

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Uniqueness of ground states for nonlinear Schr?dinger equations with attractive inverse-power potential

2019-03-12 00:00

Speaker: Noriyoshi Fukaya

unit:

Time: 2019-03-12 15:30-16:30

Venue: Room 208, Center for Applied Mathematics

starttime: 2019-03-12 15:30-16:30

Profile:


Theme：
Uniqueness of ground states for nonlinear Schr?dinger equations with attractive inverse-power potential
Time：
2019-03-12 15:30-16:30
Venue：
Room 208, Center for Applied Mathematics
Speaker：
Noriyoshi Fukaya

Abstract

    In this talk, we consider the uniqueness of ground states for stationary nonlinear Schr?dinger 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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