Calculus of Variations and Geometric Measure Theory

M. Di Marco - S. Don - D. Vittone

SBV functions in Carnot-Carathéodory spaces

created by dimarco on 07 Mar 2025

[BibTeX]

preprint

Inserted: 7 mar 2025

Year: 2025

ArXiv: 2503.04285 PDF

Abstract:

We introduce the space SBV$_X$ of special functions with bounded $X$-variation in Carnot-Carath\'eodory spaces and study its main properties. Our main outcome is an approximation result, with respect to the BV$_X$ topology, for SBV$_X$ functions.