Calculus of Variations and Geometric Measure Theory

A. Cucinotta

On the properties of the set where a generalized function of bounded variation takes an infinite value

created by cucinotta on 20 Feb 2024
modified on 04 Mar 2024

[BibTeX]

Published Paper

Inserted: 20 feb 2024
Last Updated: 4 mar 2024

Journal: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.
Year: 2024
Doi: 10.4171/RLM/1031

Abstract:

We study the properties of the set where a generalized function of bounded variation has infinite approximate limit, highlighting in this way the main geometric difference with functions of bounded variation. To this aim, we prove a new result on strict approximation of the sets of finite perimeter from the outside with open sets.


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