Calculus of Variations and Geometric Measure Theory

A. Massaccesi - D. Vittone

An elementary proof of the rank-one theorem for BV functions

created by massaccesi on 12 Jan 2016
modified by vittone on 23 Apr 2026

[BibTeX]

Published Paper

Inserted: 12 jan 2016
Last Updated: 23 apr 2026

Journal: J. Eur. Math. Soc. (JEMS)
Volume: 21
Pages: 3255–3258
Year: 2019
Doi: 10.4171/JEMS/903

ArXiv: 1601.02903 PDF

Abstract:

We provide a simple proof of a result, due to G. Alberti, concerning a rank-one property for the singular part of the derivative of vector-valued functions of bounded variation.


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