几何分析讨论班第五次

题目： Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation

报告人：陈学长 （南京大学）

时间：11月30日（周五） 9:30-12:00

地点：工商楼105室

摘要: Inspired by the non-compact examples for the Yamabe equation due to Brendle, Brendle-Marques, we construct an example to show that the full set of the solutions to the constant scalar curvature and constant boundary mean curvature equation is non-compact. More precisely, for each fixed positive constant $C$, there exists an integer $n_0=n_0(C)>61$, when the dimension $n/geq n_0$, the aforementioned set for all conformal metrics with scalar curvature 1 and boundary mean curvature $C$ is non-compact in $C^0$-topology. This is joint with Nan Wu.

联系人：王枫老师（wfmath@zju.edu.cn）