The Logarithmic Capacitary Minkowski Problem for Polytopes
The Logarithmic Capacitary Minkowski Problem for Polytopes作者机构:School of Mathematical SciencesTongji UniversityShanghai 200092P.R.China School of Mathematics and StatisticsNingbo UniversityNingbo 315211P.R.China
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2022年第38卷第2期
页 面:406-418页
核心收录:
基 金:Supported by NSFC(Grant No.11871373)。
主 题:Minkowski problem capacity polytope general position
摘 要:The logarithmic capacitary Minkowski problem asks for necessary and sufficient conditions on a finite Borel measure on the unit sphere so that it is the logarithmic capacitary measure of a convex body.This article completely solves the case of discrete measures whose support sets are in general position.