中科院数学与系统科学研究院
数学研究所
非线性分析研讨班
报告人：张程翔 博士 （北京师范大学）
题 目：Bound states for logarithmic Schr？dinger equations with potentials unbounded below
时 间：2020.12.16（星期三），14:00-15:00
地 点：数学院南楼N902室
摘 要：We study the existence and concentration behavior of the bound states for the logarithmic Schr？dinger equation. The potential function may be unbounded below at some singular points with a speed of at most logarithmic strength or at infinity with a speed of at most quadratic strength. We show that around the singular points or local topological critical points of the potential function, positive bound state solutions exist and concentrate.