A sub-Riemannian maximum modulus theorem

IF 1.3 3区数学 Q1 MATHEMATICS

Advances in Calculus of Variations Pub Date : 2024-01-01 DOI:10.1515/acv-2023-0066

Federico Buseghin, Nicolò Forcillo, Nicola Garofalo

引用次数: 0

Abstract

In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense that in its statement one cannot replace the right-invariant horizontal gradient with the left-invariant one.

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亚黎曼最大模定理

在本论文中，我们证明了卡诺群中的亚黎曼最大模定理。通过一个非难例，我们还证明了这样的结果是最可能的，即在其陈述中，我们不能用左不变梯度来代替右不变水平梯度。

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

Advances in Calculus of Variations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.90

自引率

5.90%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Calculus of Variations publishes high quality original research focusing on that part of calculus of variation and related applications which combines tools and methods from partial differential equations with geometrical techniques.