报告人：尹佳斌（信阳师范大学）

报告时间：2026年4月16日16：00- 17：00

报告地点：腾讯会议930-563-636

题目：Geometric inequalities for $p$-capacitary functions in asymptotically flat half space

摘要：In this paper,   we establish the existence, regularity, and asymptotic behavior of a $p$-capacitary potential of 3-dimensional asymptotically flat half space $(M,g)$.  Then, based on these properties of the potential, we establish general monotone quantities and geometric inequalities related to $p$-capacitary functions in asymptotically flat half-space with simple topology and nonnegative mean curvature of  \partial M and scalar curvature. These inequalities attain equality on  Schwarzschild half space outside rotationally symmetric half spheres. As $p\to1$, we obtain Riemannian Penrose type inequality for asymptotically flat half-spaces. This is joint work with Professor Chao Xia and Dr. Xingjian Zhou.

报告人简介：尹佳斌，信阳师范大学副教授。主持国家自然科学基金两项，主要从事子流形几何和几何分析等方面的研究，在AIM、SCM、CVPDE等期刊发表SCI论文十几篇。