QCH mappings between unit ball and domain with C^1,α boundary

2020/05/12 by Gjokaj, Anton, Kalaj, David
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2005.05667

Abstract

We prove the following. If f is a harmonic quasiconformal mapping between the unit ball in ℝⁿ and a spatial domain with C^1,α 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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