Document Type
Article
Date
6-27-2010
Disciplines
Mathematics
Description/Abstract
We prove that planar homeomorphisms can be approximated by diffeomorphisms in the Sobolev space W1,2 and in the Royden algebra. As an application, we show that every discrete and open planar mapping with a holomorphic Hopf differential is harmonic.
Recommended Citation
Iwaniec, Tadeusz; Kovalev, Leonid V.; and Onninen, Jani, "Hopf Differentials and Smoothing Sobolev Homeomorphisms" (2010). Mathematics - All Scholarship. 64.
https://surface.syr.edu/mat/64
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This article is from arXiv.org, for more information see http://arxiv.org/abs/1006.5174