Invertible harmonic mappings of unit disk onto Dini smooth Jordan domains
arXiv:1503.01605
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.
9 pages. arXiv admin note: substantial text overlap with arXiv:1003.2740