A sub-Riemannian maximum modulus theorem-Reference-Cited by-同舟云学术

A sub-Riemannian maximum modulus theorem

Published:2024-01-02 Issue: Volume: Page:
ISSN:1864-8258
Container-title:Advances in Calculus of Variations
language:en
Short-container-title:

Author:

Buseghin Federico¹,Forcillo Nicolò²,Garofalo Nicola³

Affiliation:

1. Department of Mathematical Sciences , University of Bath , Bath BA2 7AY , United Kingdom

2. Department of Mathematics , Michigan State University , East Lansing , MI 48824 , USA

3. Dipartimento d’Ingegneria Civile e Ambientale (DICEA) , Università di Padova , Via Marzolo 9, 35131 Padova , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/acv-2023-0066/pdf

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