On local injectivity and asymptotic linearity of quasiregular mappings

Gutlyanskiĭ, V.; Martio, O.; Ryazanov, V.; Vuorinen, M.

Gutlyanskiĭ, V. ; Martio, O. ; Ryazanov, V. ; Vuorinen, M.

Studia Mathematica, Tome 129 (1998), p. 243-271 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $l o g | f (x) - f (x_{0}) |$ to behave asymptotically as $l o g | x - x_{0} |$ are given. Some global injectivity results are derived.

Publié le : 1998-01-01

Zbl 0893.30012

EUDML-ID : urn:eudml:doc:216485

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     title = {On local injectivity and asymptotic linearity of quasiregular mappings},
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     volume = {129},
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     zbl = {0893.30012},
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Gutlyanskiĭ, V.; Martio, O.; Ryazanov, V.; Vuorinen, M. On local injectivity and asymptotic linearity of quasiregular mappings. Studia Mathematica, Tome 129 (1998) pp. 243-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv128i3p243bwm/

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