报告题目:The Lp Minkowski problem for p-capacity
主办单位:英国立博官网中文版
报告专家:邹都
专家所在单位:武汉科技大学
报告时间:2021年1月8日
报告地点:数统203
专家简介:邹都,武汉科技大学理学院副教授,主要从事凸几何分析、积分几何、随机几何等领域的研究.主持国家自科学基金项目1项,主持省自科基金杰出青年人才项目1项。在关联椭球算子与仿射极值问题、Minkowski问题等方面获得了一些研究成果,相关工作发表于"Journal of Diff- erential Geometry", "Calculus of Variations and Partial Differential Equations", "Advances in Mathematics", "International Mathematics Research Notices", "Communications in Analysis and Geometry", "Journal of Geometric Analysis"等期刊.
报告摘要:Existence and uniqueness of the solution to the Lp Minkowski problem for p-capacity are proved when p>1 and 1<p<n. These results are nonlinear extensions of the recent solution to the Lp Minkowski problem for p=1 and 1<p<n by CNSXYZ and AGHLV, and the classical solution to the Minkowski problem for electrostatic capacity when p=1 and p=2 by Jerison. The work has been published in Journal of Differential Geometry.
邀请人:向妮