学术报告

On the Polar Orlicz-Minkowski Problems and the P-Capacitary Orlicz-Petty Bodies

阅读次数:1579

题目:On the Polar Orlicz-Minkowski Problems and the P-Capacitary Orlicz-Petty Bodies
报告人:朱保成 (湖北民族学院)
地点:瑞安楼 205 室
时间:2018年04月13日 10:15-11:15
摘要:We will talk about the polar Orlicz-Minkowski problems: under what conditions on a nonzero finite measure and a continuous function  there exists a convex body such that   is an optimizer of the following optimization problems:          .The solvability of the polar Orlicz-Minkowski problems is discussed under different conditions. In particular, under certain conditions on  , the existence of a solution is proved for a nonzero finite measure   on unit sphere   which is not concentrated on any hemisphere of  . Another part of this paper deals with the p-capacitary Orlicz-Petty bodies. In particular, the existence of the p-capacitary Orlicz-Petty bodies is established and the continuity of the p-capacitary Orlicz-Petty bodies is proved. 

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