A Note on Alberti's Luzin-Type Theorem for Gradients
Analysis of PDEs
2026-01-30 v1 Differential Geometry
Abstract
We give a "soft" proof of Alberti's Luzin-type theorem in [1] (G. Alberti, A Lusintype theorem for gradients, J. Funct. Anal. 100 (1991)), using elementary geometric measure theory and topology. Applications to the -rectifiability problem are also discussed.
Cite
@article{arxiv.1910.02537,
title = {A Note on Alberti's Luzin-Type Theorem for Gradients},
author = {Siran Li},
journal= {arXiv preprint arXiv:1910.02537},
year = {2026}
}
Comments
8 pages. Ricerche di Mat. (2020)