不能作为二维双Lipschitz映射之雅可比行列式的密度是通有的
泛函分析
2016-03-24 v1 偏微分方程分析
摘要
证明了通有情况下,正连续函数不能写为双Lipschitz平面同胚的导数。对有界函数同样得证。
引用
@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}
}
备注
7 pages, 4 figures