Invertible harmonic mappings, beyond Kneser
Analysis of PDEs
2010-11-09 v2
Abstract
We prove necessary and sufficient criteria of invertibility for planar harmonic mappings which generalize a classical result of H. Kneser, also known as the Rad\'{o}-Kneser-Choquet theorem.
Cite
@article{arxiv.0712.3840,
title = {Invertible harmonic mappings, beyond Kneser},
author = {Giovanni Alessandrini and Vincenzo Nesi},
journal= {arXiv preprint arXiv:0712.3840},
year = {2010}
}
Comments
One section added. 15 pages