2015/02/02 by Vladimir Božin, Božin, Vladimir, Miodrag Mateljević +1
Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
paper · pdf · doi:10.48550/arxiv.1502.00457
openalex publication_date 2015/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using normal family arguments, we show that the degree of the first nonzero\nhomogenous polynomial in the expansion of n dimensional Euclidean harmonic\nK-quasiconformal mapping around an internal point is odd, and that such a map\nfrom the unit ball onto a bounded convex domain, with K< 3n-1, is\nco-Lipschitz. Also some generalizations of this result are given, as well as a\ngeneralization of Heinz's lemma for harmonic quasiconformal maps in mathbb\nRn and related results.\n