Densities non-realizable as the Jacobian of a 2-dimensional bi-Lipschitz map are generic
Functional Analysis
2016-03-24 v1 Analysis of PDEs
Abstract
It is shown that, generically, a positive continuous functions cannot be written as the derivative of a bi-Lipschitz plane homeomorphism. The same is proved for generic bounded functions.
Keywords
Cite
@article{arxiv.1603.07310,
title = {Densities non-realizable as the Jacobian of a 2-dimensional bi-Lipschitz map are generic},
author = {Rodolfo Viera},
journal= {arXiv preprint arXiv:1603.07310},
year = {2016}
}
Comments
7 pages, 4 figures