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Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings

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.

preprint2012arXivOpen access
David Kalaj
math.CV
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David Kalaj

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