报告人：彭双阶（华中师范大学）

邀请人：杨美华

报告时间：2022年4月22日 （星期五）14: 00-16:00  

报告地点：腾讯会议：539 467 428

报告题目：Concentrated solutions to nonlinear Schrodinger equations with very degenerate potentials

报告摘要：We talk about a type of singularly perturbed  nonlinear Schrodinger equation with a potential and obtain a more accurate location for the concentrated points, the existence and the local uniqueness for positive multi-peak solutions when the potential possesses non-isolated critical points by using the modified finite dimensional reduction method based on local Pohozaev identities. Moreover, for several special potentials, with its critical point set being a low-dimensional ellipsoid, or a part of hyperboloid of one sheet or two sheets,  we obtain the number and symmetry of multi-peak solutions by using local uniqueness of concentrated solutions. Here the main difficulty comes from the different degenerate rate along different directions at the critical points of the potential.

报告人简介：彭双阶，教授，博士生导师，现任华中师范大学副校长。