On local injectivity and asymptotic linearity of quasiregular mappings
Studia Mathematica, Tome 128 (1998) no. 3, pp. 243-271
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at $x_0$ implies the local injectivity and the asymptotic linearity of f at $x_0$. Sufficient conditions for $log|f(x) - f(x_0)|$ to behave asymptotically as $log|x - x_0|$ are given. Some global injectivity results are derived.
@article{10_4064_sm_128_3_243_271,
author = {V. Ya. Gutlyanski\u{i} and and and },
title = {On local injectivity and asymptotic linearity of quasiregular mappings},
journal = {Studia Mathematica},
pages = {243--271},
publisher = {mathdoc},
volume = {128},
number = {3},
year = {1998},
doi = {10.4064/sm-128-3-243-271},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-128-3-243-271/}
}
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V. Ya. Gutlyanskiĭ; ; ; . On local injectivity and asymptotic linearity of quasiregular mappings. Studia Mathematica, Tome 128 (1998) no. 3, pp. 243-271. doi: 10.4064/sm-128-3-243-271
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