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QCH mappings between unit ball and domain with $C^{1,α}$ boundary
Published 12 May 2020 in math.AP | (2005.05667v2)
Abstract: We prove the following. If $f$ is a harmonic quasiconformal mapping between the unit ball in $\mathbb{R}n$ and a spatial domain with $C{1,\alpha}$ boundary, then $f$ is Lipschitz continuous in $B$. This generalizes some known results for $n=2$ and improves some others in higher dimensional case.
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