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Mappings of finite distortion: a new proof for discreteness and openness

Published online by Cambridge University Press:  08 October 2008

Jani Onninen  and
Xiao Zhong
Jani Onninen
Affiliation:
Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA ([email protected])
Xiao Zhong
Affiliation:
Department of Mathematics and Statistics, University of Jyväskylä, PO Box 35 (MaD), Fin-40014, University of Jyväskylä, Finland ([email protected])
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Extract

We give a new and elementary proof of the known result: a non-constant mapping of finite distortion f : Ω ⊂ ℝn → ℝn is discrete and open, provided that its distortion function if n = 2 and that for some p > n − 1 if n ≥ 3.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 5 , October 2008 , pp. 1097 - 1102
Copyright
Copyright © Royal Society of Edinburgh 2008

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