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.
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页数：16
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