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ArticleOriginal scientific text

Title

On local injectivity and asymptotic linearity of quasiregular mappings

Authors 1, 2, 1, 2

Affiliations

  1. Institute of Applied Mathematics and Mechanics, NAS of Ukraine, ul. Roze Luxemburg 74, 340114 Donetsk, Ukraine
  2. Department of Mathematics, P.O. Box 4 (Yliopistonk. 5), FIN-00014 University of Helsinki, Finland

Abstract

It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at x0 implies the local injectivity and the asymptotic linearity of f at x0. Sufficient conditions for log|f(x)-f(x0)| to behave asymptotically as log|x-x0| are given. Some global injectivity results are derived.

Bibliography

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Studia Mathematica
1998/128/3
Export to PBN, Opens in new tab
Pages:
243-271
Main language of publication
English
Received
1996-11-04
Published
1998
Exact and natural sciences