报告题目：Sharp upper bounds of $p$-capacity in convex cone and  asymptotically flat half-space

报告人：尹佳斌

报告时间：2024年10月25日（周五）上午10:00开始

报告地点：数学楼315会议室

报告摘要：In this paper,  we prove $p$-capacity inequalities involving the square of total mean curvature of star-shaped hypersurfaces with free boundary in convex cones by inverse mean curvature flow with Neumann boundary condition. As the second results, we  prove mass-capacity inequality of $3$-dimensional asymptotically flat half-space by using weak inverse mean curvature flow for hypersurfaces with free boundary. This is a jiont work with Xingjian Zhou.

报告人简介：尹佳斌，广西师范大学副教授，硕士生导师。主持国家自然科学基金青年项目和数学天元访问学者项目，主持广西省基金两项。在Adv. Math.、Calc. Var. Partial Differential Equations 、 Sci. China Math.、 J. Geom. Anal.、 Proc. Roy. Soc. Edinburgh Sect. A等期刊发表论文十多篇。