The Logarithmic Capacitary Minkowski Problem for Polytopes

作     者：Ge XIONG Jia Wei XIONG Ge XIONG;Jia Wei XIONG

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：

学科分类：07[理学] 0701[理学-数学] 

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.