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arXiv · 1003.2740

Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings

David Kalaj
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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.

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David Kalaj. 2012-02-18. Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings. https://arxiv.org/abs/1003.2740

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