14-09-2020
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几何分析讨论班第二期-The Lp Minowski problem for the electrostatic capacity-熊革教授

RUC几何分析研讨班第2期

报告题目:The Lp Minowski problem for the electrostatic capacity

报告人:熊革 教授(同济大学)

报告时间:2020年9月17日  周四 14:00-15:00

报告地点:(腾讯会议ID:47530735615)

摘要:The Minkowski problem for the electrostatic capacity, which was originally posed and solved by D. Jerison (Acta Math. 176 (1996), 1-47), is an extremely important variant among Minkowski type problems. In this talk, I will speak on our recent work on the Lp Minowski problem for the electrostatic capacity. Specifically, we prove the existence and uniqueness of the solution for 1 < p and existence of the solution for 0 < p < 1, respectively. These results are nonlinear extensions of the classical solution to the Minkowski problem for electrostatic capacity when p = 1 by D. Jerison.

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