A sub-Riemannian maximum modulus theorem

被引：0

作者：

Buseghin, Federico ^{[2
]}

Forcillo, Nicolo ^{[3
]}

Garofalo, Nicola ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Ingn Civile & Ambientale DICEA, Via Marzolo 9, I-35131 Padua, Italy

[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, England

[3] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2024年

关键词：

Bochner formulas; right-invariant vector fields; maximum modulus theorem; FULLY NONLINEAR EQUATIONS; CARNOT GROUPS; REGULARITY;

D O I：

10.1515/acv-2023-0066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：8

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