On BV homeomorphisms
Classical Analysis and ODEs
2021-01-29 v1
Abstract
We obtain the rectifiability of the graph of a bounded variation homeomorphism in the plane and relations between gradients of and its inverse. Further, we show an example of a bounded variation homeomorphism in the plane which satisfies the and properties and strict positivity of Jacobian of both itself and its inverse, but neither nor is Sobolev.
Cite
@article{arxiv.2003.13664,
title = {On BV homeomorphisms},
author = {Luigi D'Onofrio and Jan Malý and Carlo Sbordone and Roberta Schiattarella},
journal= {arXiv preprint arXiv:2003.13664},
year = {2021}
}