各向同性Lp高斯Minkowski问题解的唯一性

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-07-12 DOI:10.1016/j.na.2025.113901

Jinrong Hu

引用次数: 0

摘要

当−(n+1)<p<；−1且n≥1时，建立了各向同性Lp高斯Minkowski问题解的唯一性，而不需要对凸体的原点中心假设。

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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Uniqueness of solutions to the isotropic Lp Gaussian Minkowski problem

The uniqueness of solutions to the isotropic

L_{p}

Gaussian Minkowski problem in

R^{n + 1}

is established when

- (n + 1) < p < - 1

with

n \geq 1

, without requiring the origin-centred assumption on convex bodies.

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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.