The Lp Minkowski Problem for the Electrostatic p-capacity for p ≥ n

被引:0
|
作者
Lu, Xinbao [1 ]
Xiong, G. E. [1 ]
机构
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
基金
中国国家自然科学基金;
关键词
L-p Minkowski problem; capacity; polytope; CONE-VOLUME MEASURE; INEQUALITY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Sufficient conditions are given for the existence of solutions to the discrete L-p Minkowski problem for p-capacity when 0 < p < 1 and p >= n.
引用
收藏
页码:1869 / 1901
页数:33
相关论文
共 50 条
  • [1] THE Lp MINKOWSKI PROBLEM FOR THE ELECTROSTATIC p-CAPACITY
    Zou, Du
    Xiong, Ge
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2020, 116 (03) : 555 - 596
  • [2] THE Lp MINKOWSKI PROBLEM FOR THE ELECTROSTATIC p-CAPACITY FOR p &gt; 1 AND p ≥ n
    Lu, Xinbao
    Xiong, Ge
    Xiong, Jiawei
    ASIAN JOURNAL OF MATHEMATICS, 2024, 28 (01) : 47 - 78
  • [3] The Orlicz Minkowski problem for the electrostatic p-capacity
    Xiong, Ge
    Xiong, Jiawei
    ADVANCES IN APPLIED MATHEMATICS, 2022, 137
  • [4] The Dual Minkowski Problem for p-Capacity
    Ji, Lewen
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (06)
  • [5] The Hadamard variational formula and the Minkowski problem for p-capacity
    Colesanti, A.
    Nystrom, K.
    Salani, P.
    Xiao, J.
    Yang, D.
    Zhang, G.
    ADVANCES IN MATHEMATICS, 2015, 285 : 1511 - 1588
  • [6] The Discrete Orlicz-Minkowski Problem for p-Capacity
    Lewen Ji
    Zhihui Yang
    Acta Mathematica Scientia, 2022, 42 : 1403 - 1413
  • [7] The Discrete Orlicz-Minkowski Problem for p-Capacity
    Ji, Lewen
    Yang, Zhihui
    ACTA MATHEMATICA SCIENTIA, 2022, 42 (04) : 1403 - 1413
  • [8] A flow to the Orlicz-Minkowski-type problem of p-capacity
    Sheng, Li
    Yang, Jin
    ADVANCES IN APPLIED MATHEMATICS, 2024, 155
  • [9] On Brunn–Minkowski Type Inequalities and Overdetermined Problem for p-Capacity
    Lewen Ji
    Results in Mathematics, 2020, 75
  • [10] On the polar Orlicz Minkowski type problem for the general mixed p-capacity
    Li, Hai
    Hu, Zejun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 522 (01)