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.
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收藏
页数：24
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