On the Orlicz Minkowski problem for logarithmic capacity

被引：3
|
作者：
Hu, Zejun [1 ]
Li, Hai [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 510卷 / 01期
关键词：
Convex body; Logarithmic capacity; Orlicz Minkowski problem; HADAMARD VARIATIONAL FORMULA;
D O I：
10.1016/j.jmaa.2022.126005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, studying the Orlicz Minkowski problem for logarithmic capacity, we prove the existence of its solution for general measure by the method of approximation. To achieve the purpose, we first prove the existence of its solution for the special case of discrete measure by variational method. (c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页数：16
相关论文
共 50 条
  • [31] The logarithmic Minkowski problem in R2
    Liu, Yude
    Lu, Xinbao
    Sun, Qiang
    Xiong, Ge
    PURE AND APPLIED MATHEMATICS QUARTERLY, 2024, 20 (02) : 869 - 902
  • [32] General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem I
    Richard J. Gardner
    Daniel Hug
    Wolfgang Weil
    Sudan Xing
    Deping Ye
    Calculus of Variations and Partial Differential Equations, 2019, 58
  • [33] General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem II
    Richard J. Gardner
    Daniel Hug
    Sudan Xing
    Deping Ye
    Calculus of Variations and Partial Differential Equations, 2020, 59
  • [34] The General Dual-Polar Orlicz–Minkowski Problem
    Sudan Xing
    Deping Ye
    Baocheng Zhu
    The Journal of Geometric Analysis, 2022, 32
  • [35] The Orlicz Minkowski problem for cone-volume measure
    Xie, Fengfan
    ADVANCES IN APPLIED MATHEMATICS, 2023, 149
  • [36] On the existence of solutions to the Orlicz–Minkowski problem for torsional rigidity
    Zejun Hu
    Hai Li
    Archiv der Mathematik, 2023, 120 : 543 - 555
  • [37] Inverse Gauss Curvature Flows and Orlicz Minkowski Problem
    Bin Chen
    Cui, Jingshi
    Zhao, Peibiao
    ANALYSIS AND GEOMETRY IN METRIC SPACES, 2022, 10 (01): : 330 - 343
  • [38] Flow by Gauss curvature to the orlicz chord Minkowski problem
    Zhao, Xia
    Zhao, Peibiao
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2024, 203 (05) : 2405 - 2424
  • [39] A FLOW METHOD FOR THE DUAL ORLICZ-MINKOWSKI PROBLEM
    Liu, Yannan
    Lu, Jian
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (08) : 5833 - 5853
  • [40] A Lp Brunn-Minkowski Theory for Logarithmic Capacity
    Chen, Zhengmao
    POTENTIAL ANALYSIS, 2021, 54 (02) : 273 - 298
12345