Calculus of Variations and Geometric Measure Theory

A. Julia - S. Nicolussi Golo - D. Vittone

Nowhere differentiable intrinsic Lipschitz graphs

created by vittone on 12 Jan 2021
modified on 24 Mar 2022

[BibTeX]

Published Paper

Inserted: 12 jan 2021
Last Updated: 24 mar 2022

Journal: Bull. Lond. Math. Soc.
Volume: 53
Number: 6
Pages: 1766–1775
Year: 2021
Doi: https://doi.org/10.1112/blms.12540

ArXiv: 2101.02985 PDF

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.