Calculus of Variations and Geometric Measure Theory

D. Mucci

Functions of bounded variation in trace spaces

created by mucci on 14 Jun 2025
modified on 21 May 2026

[BibTeX]

Published Paper

Inserted: 14 jun 2025
Last Updated: 21 may 2026

Journal: Nonlinear Anal.
Year: 2025
Doi: https://doi.org/10.1016/j.na.2026.114157

Abstract:

For vector-valued maps in Sobolev-Slobodeckij trace spaces, we prove a necessary and sufficient condition for membership in the class of functions of bounded variation

Keywords: functions of bounded variation, currents, Approximate differentiability, Sobolev-Slobodeckij trace spaces