Nowhere differentiable intrinsic Lipschitz graphs
Year of publication
2021
Authors
Julia, Antoine; Nicolussi Golo, Sebastiano; Vittone, Davide
Abstract
We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow-up limits, none of which is a homogeneous subgroup. This provides counterexamples to a Rademacher theorem for intrinsic Lipschitz graphs.
Show moreOrganizations and authors
University of Jyväskylä
Nicolussi Golo Sebastiano 
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Publisher
Volume
53
Issue
6
Pages
1766-1775
ISSN
Publication forum
Publication forum level
2
Open access
Open access in the publisher’s service
Yes
Open access of publication channel
Partially open publication channel
Self-archived
Yes
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object]
Publication country
United Kingdom
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1112/blms.12540
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes