THE ORLICZ MINKOWSKI PROBLEM FOR GENERAL MEASURES

被引:4
|
作者
Xie, Fengfan [1 ]
机构
[1] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Hubei, Peoples R China
关键词
FIREY THEORY; AFFINE; REGULARITY; BODIES;
D O I
10.1090/proc/14722
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of a solution to the volume normalized Orlicz Minkowski problem is proved for general measures. This solves a limit case of Lutwak-Yang-Zhang's existence theorem to the problem.
引用
收藏
页码:4433 / 4445
页数:13
相关论文
共 50 条
  • [41] Dual Mixed Orlicz-Brunn-Minkowski Inequality and The General Dual Orlicz Mixed Volume
    Zhang, Ping
    Zhang, Xiaohua
    ENGINEERING LETTERS, 2024, 32 (02) : 220 - 225
  • [42] Orlicz–Minkowski flows
    Paul Bryan
    Mohammad N. Ivaki
    Julian Scheuer
    Calculus of Variations and Partial Differential Equations, 2021, 60
  • [43] THE ORLICZ-BRUNN-MINKOWSKI THEORY: A GENERAL FRAMEWORK, ADDITIONS, AND INEQUALITIES
    Gardner, Richard J.
    Hug, Daniel
    Weil, Wolfgang
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2014, 97 (03) : 427 - 476
  • [44] The general minimal Orlicz surface area for measures
    Wang, Xiaofang
    Dai, Jin
    Li, Wan
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2024, 35 (13)
  • [45] Existence of Smooth Even Solutions to the Dual Orlicz-Minkowski Problem
    Chen, Li
    Liu, YanNan
    Lu, Jian
    Xiang, Ni
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (02)
  • [46] Dual Orlicz curvature measures for log-concave functions and their Minkowski problems
    Fang, Niufa
    Ye, Deping
    Zhang, Zengle
    Zhao, Yiming
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2025, 64 (02)
  • [47] A Gauss Curvature Flow to the Orlicz-Minkowski Problem for Torsional Rigidity
    Hu, Jinrong
    Liu, Jiaqian
    Ma, Di
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (02)
  • [48] A flow to the Orlicz-Minkowski-type problem of p-capacity
    Sheng, Li
    Yang, Jin
    ADVANCES IN APPLIED MATHEMATICS, 2024, 155
  • [49] The Planar Orlicz Minkowski Problem for p=0 Without Even Assumptions
    Sun Yijing
    Zhang Duanzhi
    JOURNAL OF GEOMETRIC ANALYSIS, 2019, 29 (04) : 3384 - 3404
  • [50] On the Minkowski problem for p-harmonic measures
    Akman, Murat
    Mukherjee, Shirsho
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2025, 64 (01)