Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (4): 1403-1413.doi: 10.1007/s10473-022-0408-1

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

Lewen JI, Zhihui YANG   

  1. 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).

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

CLC Number: 

  • 52A40
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