Infinitesimal geometry of quasilinear mappings.
Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tong, Yuxia, Gu, Jiantao, Li, Ying (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Rajala, Kai (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ewa Ligocka (1998)
Colloquium Mathematicae
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Robert Kaufman, Jeremy T. Tyson, Jang-Mei Wu (2005)
Publications Mathématiques de l'IHÉS
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According to a theorem of Martio, Rickman and Väisälä, all nonconstant C-smooth quasiregular maps in , ≥3, are local homeomorphisms. Bonk and Heinonen proved that the order of smoothness is sharp in . We prove that the order of smoothness is sharp in . For each ≥5 we construct a C-smooth quasiregular map in with nonempty branch set.
Mayer, Volker (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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V. Gutlyanskiĭ, O. Martio, V. Ryazanov, M. Vuorinen (1998)
Studia Mathematica
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It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at implies the local injectivity and the asymptotic linearity of f at . Sufficient conditions for to behave asymptotically as are given. Some global injectivity results are derived.
Ricardo de Arcangelis, Patrizia Donato (1987)
Studia Mathematica
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Bishop, Christopher J., Gutlyanskiĭ, Vladimir Ya., Martio, Olli, Vuorinen, Matti (2003)
International Journal of Mathematics and Mathematical Sciences
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Matti Vuorinen (1983)
Banach Center Publications
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Bonfert-Taylor, Petra, Bridgeman, Martin, Taylor, Edward C. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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