Calculus of Variations and Geometric Measure Theory
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A. Julia - S. Nicolussi Golo - D. Vittone

Nowhere differentiable intrinsic Lipschitz graphs

created by vittone on 12 Jan 2021
modified on 03 Jun 2021

[BibTeX]

Accepted Paper

Inserted: 12 jan 2021
Last Updated: 3 jun 2021

Journal: Bull. Lond. Math. Soc.
Year: 2021

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.

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