学术报告：A partial overdetermined problem in a half ball

主办单位：英国威廉希尔体育公司

报告专家：夏超

报告时间：2018年9月13日（周四）10：10-11：10

报告地点：英国威廉希尔体育公司201学术报告厅

专家简介：夏超，男，厦门大学数学科学学院教授。 主要研究对象是微分几何（包括Riemann-Finsler几何，子流形几何，共形几何等）中出现的椭圆及抛物型偏微分方程。通过对此类偏微分方程的解的存在性惟一性或收敛性的研究，去解释相应的几何问题以及寻求一些有趣的几何应用。

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 is left open. This is a joint work with Jinyu Guo at Xiamen.