Invertible harmonic mappings of unit disk onto Dini smooth Jordan domains

David Kalaj

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arXiv · 1503.01605

Invertible harmonic mappings of unit disk onto Dini smooth Jordan domains

David Kalaj

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Abstract

In this paper we extend Rado-Choquet-Kneser theorem for the mappings with weak homeomorphic Lipschitz boundary data and Dini's smooth boundary but without restriction on the convexity of image domain, provided that the Jacobian satisfies a certain boundary condition. The proof is based on a recent extension of Rado-Choquet-Kneser theorem by Alessandrini and Nesi \cite{ale} and it is used the approximation principle.

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David Kalaj. 2015-03-05. Invertible harmonic mappings of unit disk onto Dini smooth Jordan domains. https://arxiv.org/abs/1503.01605

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