Publications de l’Institut Mathématique, Nouvelle Série Vol. 102[116], pp. 85–91 (2017) 

BiLipschitzity of quasiconformal harmonic mappings in $n$dimensional space with respect to $k$metricShadia ShalandiDepartment of Mathematics, University of Belgrade, Belgrade, SerbiaAbstract: We explore conditions which guarantee biLipschitzity of harmonic quasiconformal maps with respect to $k$metric. We prove that harmonic $k$quasiconformal maps with nonzero Jacobian between any two domains in ${\mathbb{R}}^{n}$ are biLipschitz with respect to $k$metric, and prove the converse too. Keywords: harmonic maps, quasiconformal maps, kmetric, biLipschitz maps Classification (MSC2000): 30C65; 42B37 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 3 Nov 2017. This page was last modified: 29 Jan 2018.
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