Calculus of Variations and Geometric Measure Theory
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A. Merlo

Full non-differentiability sets of typical Lipschitz functions

created by merlo on 29 Sep 2020

[BibTeX]

Submitted Paper

Inserted: 29 sep 2020
Last Updated: 29 sep 2020

Year: 2019

ArXiv: 1906.08366 PDF

Abstract:

In this paper we prove that the typical Lipschitz function has no directional derivative at any point of a Borel set $E$ if and only if $E$ is contained in a countable union of closed purely unrectifiable sets.

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