Calculus of Variations and Geometric Measure Theory

R. Cristoferi - Devin van der Gulik

Optimal constant for the trace inequality in $BV$ for domains with corners

created by cristoferi on 16 Apr 2026

[BibTeX]

preprint

Inserted: 16 apr 2026

Year: 2026

ArXiv: 2604.13770 PDF

Abstract:

We determine the explicit value of the optimal constant in the trace inequality for functions of bounded variations in the case the domain has a particular class of singularities.