The Logarithmic Capacitary Minkowski Problem for Polytopes  

作　　者：Ge XIONG Jia Wei XIONG 

机构地区：[1]School of Mathematical Sciences,Tongji University,Shanghai 200092,P.R.China [2]School of Mathematics and Statistics,Ningbo University,Ningbo 315211,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第2期406-418,共13页数学学报（英文版）

基　　金：Supported by NSFC(Grant No.11871373)。

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.

关 键 词：Minkowski problem capacity POLYTOPE general position 

分 类 号：O186.5[理学—数学]