A1 Refereed original research article in a scientific journal

On local injectivity and asymptotic linearity of quasiregular mappings



Authors: Gutlyanskiǐ V., Martio O., Ryazanov V., Vuorinen M.

Publication year: 1998

Journal:: Studia Mathematica

Journal name in source: Studia Mathematica

Volume: 128

Issue: 3

First page : 243

Last page: 271

Number of pages: 29

ISSN: 0039-3223

Web address : http://api.elsevier.com/content/abstract/scopus_id:0032413318


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



Last updated on 2025-13-10 at 12:37