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几何分析讨论班第五次

编辑:wfy 时间:2018年11月28日 访问次数:622

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