THE DISCRETE ORLICZ-MINKOWSKI PROBLEM FOR $p$-CAPACITY

doi:10.1007/s10473-022-0408-1

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (4): 1403-1413.doi: 10.1007/s10473-022-0408-1

THE DISCRETE ORLICZ-MINKOWSKI PROBLEM FOR $p$-CAPACITY

季乐文, 杨志辉

School of Science, East China University of Technology, Nanchang, 330013, China

收稿日期:2020-12-18 修回日期:2021-04-03 出版日期:2022-08-25 发布日期:2022-08-23
通讯作者: Lewen JI,E-mail:jilewen2008@163.com E-mail:jilewen2008@163.com
基金资助:
The first author is partly supported by the National Natural Science Foundation of China (12061006), the Science and Technology Project of Education Department of Jiangxi Province (GJJ180414) and East China University of Technology Research Foundation for Advanced Talents (DHBK2018050); The second author is supported by the National Natural Science Foundation of China (71762001).

THE DISCRETE ORLICZ-MINKOWSKI PROBLEM FOR $p$-CAPACITY

Lewen JI, Zhihui YANG

School of Science, East China University of Technology, Nanchang, 330013, China

Received:2020-12-18 Revised:2021-04-03 Online:2022-08-25 Published:2022-08-23
Contact: Lewen JI,E-mail:jilewen2008@163.com E-mail:jilewen2008@163.com
Supported by:
The first author is partly supported by the National Natural Science Foundation of China (12061006), the Science and Technology Project of Education Department of Jiangxi Province (GJJ180414) and East China University of Technology Research Foundation for Advanced Talents (DHBK2018050); The second author is supported by the National Natural Science Foundation of China (71762001).

摘要/Abstract

摘要： In this paper, we demonstrate the existence part of the discrete Orlicz-Minkowski problem for $p$-capacity when 1<p<2.

关键词: Convex polytope, Orlicz-Minkowski problem, $p$-capacity

Abstract: In this paper, we demonstrate the existence part of the discrete Orlicz-Minkowski problem for $p$-capacity when 1<p<2.

Key words: Convex polytope, Orlicz-Minkowski problem, $p$-capacity

中图分类号:

52A40

季乐文, 杨志辉. THE DISCRETE ORLICZ-MINKOWSKI PROBLEM FOR $p$-CAPACITY[J]. 数学物理学报(英文版), 2022, 42(4): 1403-1413.

Lewen JI, Zhihui YANG. THE DISCRETE ORLICZ-MINKOWSKI PROBLEM FOR $p$-CAPACITY[J]. Acta mathematica scientia,Series B, 2022, 42(4): 1403-1413.

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THE DISCRETE ORLICZ-MINKOWSKI PROBLEM FOR $p$-CAPACITY

THE DISCRETE ORLICZ-MINKOWSKI PROBLEM FOR $p$-CAPACITY

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