Balls minimize trace constants in BV
Optimization and Control
2013-01-25 v1
Abstract
Balls are shown to have the smallest optimal constant, among all admissible Euclidean domains, in Poincar\'e type boundary trace inequalities for functions of bounded variation with vanishing median or mean value.
Cite
@article{arxiv.1301.5770,
title = {Balls minimize trace constants in BV},
author = {Andrea Cianchi and Vincenzo Ferone and Carlo Nitsch and Cristina Trombetti},
journal= {arXiv preprint arXiv:1301.5770},
year = {2013}
}
Comments
20 pages, no figures