Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings
Complex Variables
2012-02-21 v2
Abstract
In this paper we extend Rado-Choquet-Kneser theorem for the mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary, without restriction on the convexity of image domain. It is an extension of a recent result of Alessandrini and Nesi \cite{ale}. Some applications for the family of quasiconformal harmonic mappings between Jordan domains are given.
Keywords
Cite
@article{arxiv.1003.2740,
title = {Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings},
author = {David Kalaj},
journal= {arXiv preprint arXiv:1003.2740},
year = {2012}
}
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