A flow method to the Orlicz-Aleksandrov problem

被引：2
|
作者：
Hu, Jinrong [1 ]
Liu, Jiaqian [1 ]
Ma, Di [1 ]
机构：
[1] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 284卷 / 06期
基金：
美国国家科学基金会;
关键词：
Orlicz Aleksandrov problem; Monge-Amp?re equation; Geometric flow; P-MINKOWSKI PROBLEM; GAUSS CURVATURE; UNIQUENESS;
D O I：
10.1016/j.jfa.2022.109825
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain an existence result of smooth solu-tions to the Orlicz-Aleksandrov problem from the perspective of geometric flow. Furthermore, a special uniqueness result of solutions to this problem shall be discussed.(c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页数：24
相关论文
共 50 条
  • [41] The Orlicz-Minkowski problem for measure in Rn and Orlicz geominimal measures
    Mou, Shuang
    Zhu, Baocheng
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 30 (11)
  • [42] Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems
    Li, Qi-Rui
    Sheng, Weimin
    Wang, Xu-Jia
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020, 22 (03) : 893 - 923
  • [43] THE ALEKSANDROV PROBLEM AND THE TINGLEY PROBLEM FOR EXPANSIVE AND NONEXPANSIVE OPERATORS IN p-NORMED SPACES
    Xiao, Jian-Zhong
    Zhu, Feng-Qin
    OPERATORS AND MATRICES, 2024, 18 (01): : 53 - 67
  • [44] SOLUTION OF A PROBLEM OF ALEKSANDROV,PS ON V'P-CONTINUA
    TODOROV, VT
    MATHEMATICAL NOTES, 1981, 30 (1-2) : 552 - 553
  • [45] THE Lp-ALEKSANDROV PROBLEM FOR Lp-INTEGRAL CURVATURE
    Huang, Yong
    Lutwak, Erwin
    Yang, Deane
    Zhang, Gaoyong
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2018, 110 (01) : 1 - 29
  • [46] On the discrete Orlicz Minkowski problem II
    Yuchi Wu
    Dongmeng Xi
    Gangsong Leng
    Geometriae Dedicata, 2020, 205 : 177 - 190
  • [47] On the Orlicz Minkowski problem for logarithmic capacity
    Hu, Zejun
    Li, Hai
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 510 (01)
  • [48] THE ORLICZ MINKOWSKI PROBLEM FOR GENERAL MEASURES
    Xie, Fengfan
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (10) : 4433 - 4445
  • [49] THE ORLICZ-MINKOWSKI PROBLEM FOR POLYTOPES
    Jiang, Meiyue
    Wang, Chu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (06): : 1917 - 1930
  • [50] On the discrete Orlicz Minkowski problem II
    Wu, Yuchi
    Xi, Dongmeng
    Leng, Gangsong
    GEOMETRIAE DEDICATA, 2020, 205 (01) : 177 - 190
12345