Lp弦Minkowski问题的曲率流方法

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-04-24 DOI:10.1016/j.na.2025.113825

Manli Cheng , Lan Tang

引用次数: 0

摘要

本文主要考虑Lp弦Minkowski问题，并利用抛物方程控制流的方法，对(1)0<；p≤n+q−1和q>；2两种情况，建立了该问题解的存在性结果；(2) p>；n和q>；

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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A curvature flow approach to the Lp chord Minkowski problem

In this work, we mainly consider the

L_{p}

chord Minkowski problem and the existence results of solutions to this problem have been established by the method of flow governed by parabolic equations for the two cases: (1)

0 < p \leq n + q - 1

and

q > 2

; (2)

p > n

and

q > 2

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.