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A partial overdetermined problem in a half ball
2018-09-06 00:00:00

报告题目:

A partial overdetermined problem in a half ball

报 告 人:

夏超 教授(厦门大学)

报告时间:

2018年09月14日 15:30--16:30

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

In this talk, we propose a partially overdetermined mixed boundary value problem of Serrin type in a half ball. We prove that a domain in which this partially overdetermined problem admits a solution if and only if the domain is a spherical cap intersecting the hemi-sphere orthogonally. As an application, we show a stationary point for a well-defined partially torsional rigidity under a volume constraint must be a spherical cap. An isoperimetric problem for this partially torsional rigidity are left open. This is a joint work with Jinyu Guo at Xiamen.