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Normalized solutions and mass concentration for supercritical nonlinear Schr?dinger equations
Author: Release time:2019-10-10 Number of clicks:

Title: Normalized solutions and mass concentration for supercritical nonlinear Schr?dinger equations

Speaker: Jianfu Yang

Affiliation: Jiangxi Normal University

Time: 2019-10-14 10:30-11:30

Venue: Room 201 Lecture Hall

Abstract:

In this talk, we deal with the existence and concentration of normalized solutions to the supercritical nonlinear Schr?dinger equation

where the Lagrange multiplier. We show that for close to 2, problem admits two solutions: one is the local minimal solution and another one is the mountain pass solution . Furthermore, we study the limiting behavior of and when . Particularly, we describe precisely the blow-up formation of the excited state .

 



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