The logarithmic Minkowski problem in $R^2$

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2024-04-03 DOI:10.4310/pamq.2024.v20.n2.a5

Yude Liu, Xinbao Lu, Qiang Sun, Ge Xiong

引用次数: 0

Abstract

A necessary condition for the existence of solutions to the logarithmic Minkowski problem in $\mathbb{R}^2$, which turns to be stronger than the celebrated subspace concentration condition, is given. The sufficient and necessary conditions for the existence of solutions to the logarithmic problem for quadrilaterals, as well as the number of solutions, are fully characterized.

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R^2$ 中的对数闵科夫斯基问题

给出了$\mathbb{R}^2$中对数闵科夫斯基问题解存在的必要条件，该条件比著名的子空间集中条件更强。充分描述了四边形对数问题解存在的充分条件和必要条件以及解的数量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.