Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings

Details Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings

2010-03-13

arxiv.org/abs/1003.2740v2

Stud. Math. 207, No. 2, 117-136 (2011)

Mathematics

Complex Variables

21 pager

Scientific paper

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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