Welcome to Faculty of Mathematics and Statistics
Title: Normalized solutions and mass concentration for supercritical nonlinear Schrödinger 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 Schrödinger 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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