On local injectivity and asymptotic linearity of quasiregular mappings
V. Gutlyanskiĭ; O. Martio; V. Ryazanov; M. Vuorinen
Studia Mathematica (1998)
- Volume: 128, Issue: 3, page 243-271
- ISSN: 0039-3223
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topGutlyanskiĭ, V., et al. "On local injectivity and asymptotic linearity of quasiregular mappings." Studia Mathematica 128.3 (1998): 243-271. <http://eudml.org/doc/216485>.
@article{Gutlyanskiĭ1998,
abstract = {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.},
author = {Gutlyanskiĭ, V., Martio, O., Ryazanov, V., Vuorinen, M.},
journal = {Studia Mathematica},
keywords = {quasiregular mappings},
language = {eng},
number = {3},
pages = {243-271},
title = {On local injectivity and asymptotic linearity of quasiregular mappings},
url = {http://eudml.org/doc/216485},
volume = {128},
year = {1998},
}
TY - JOUR
AU - Gutlyanskiĭ, V.
AU - Martio, O.
AU - Ryazanov, V.
AU - Vuorinen, M.
TI - On local injectivity and asymptotic linearity of quasiregular mappings
JO - Studia Mathematica
PY - 1998
VL - 128
IS - 3
SP - 243
EP - 271
AB - 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.
LA - eng
KW - quasiregular mappings
UR - http://eudml.org/doc/216485
ER -
References
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