Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian
Classical Analysis and ODEs
2017-01-17 v1
Abstract
We construct an a.e. approximately differentiable homeomorphism of a unit -dimensional cube onto itself which is orientation preserving, has the Lusin property (N) and has the Jacobian determinant negative a.e. Moreover, the homeomorphism together with its inverse satisfy a rather general sub-Lipschitz condition, in particular it can be bi-H\"older continuous with an arbitrary exponent less than .
Keywords
Cite
@article{arxiv.1701.04348,
title = {Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian},
author = {Paweł Goldstein and Piotr Hajłasz},
journal= {arXiv preprint arXiv:1701.04348},
year = {2017}
}