Convex functions on Carnot groups
Abstract
We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of convex functions as subsolutions of homogeneous elliptic equations.
Main Authors
Format
Articles
Research article
Published
2007
Series
Subjects
Publication in research information system
Publisher
European Mathematical Society Publishing House
Original source
https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-23/issue-1/Convex-functions-on-Carnot-groups/rmi/1180728889.full
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202403142428Use this for linking
Review status
Peer reviewed
ISSN
0213-2230
Language
English
Published in
Revista Matemática Iberoamericana
Citation
- Juutinen, P., Lu, G., Manfredi, J., & Stroffolini, B. (2007). Convex functions on Carnot groups. Revista Matemática Iberoamericana, 23(1), 191-200. https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-23/issue-1/Convex-functions-on-Carnot-groups/rmi/1180728889.full
License
Copyright© 2007 Departamento de Matemáticas, Universidad Autónoma de Madrid