Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings | Zendy

Xingdi Chen | Zendy

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Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings

Author(s) -

Xingdi Chen

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/569481

Subject(s) - lipschitz continuity , mathematics , mathematical analysis , metric (unit) , harmonic , lipschitz domain , metric map , constant (computer programming) , pure mathematics , range (aeronautics) , metric space , injective metric space , physics , operations management , materials science , quantum mechanics , computer science , economics , composite material , programming language

We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a differential equation for the hyperbolic metric of an angular range, we obtain the sharp bounds of their hyperbolically partial derivatives, determined by the quasiconformal constant . As an application we get their hyperbolically bi-Lipschitz continuity and their sharp hyperbolically bi-Lipschitz coefficients.

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