Normal families, multiplicity and the branch set of quasiregular maps.
Martio, O., Srebro, U., Väisälä, J. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Martio, O., Srebro, U., Väisälä, J. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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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.
Cardoulis, Laure (2001)
International Journal of Mathematics and Mathematical Sciences
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Morii, Kei, Sato, Tokushi, Sawano, Yoshihiro, Wadade, Hidemitsu (2010)
Boundary Value Problems [electronic only]
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Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Lin, Huei-Li (2010)
International Journal of Differential Equations
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Okuyama, Shingo (2005)
Algebraic & Geometric Topology
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Csáki, Endre, Shi, Zhan (1998)
Electronic Journal of Probability [electronic only]
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Dong, Rong, Guo, Yunrui, Zhao, Yuanzhang, Zhang, Qihu (2010)
Journal of Inequalities and Applications [electronic only]
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N. Dilna, A. Rontó (2008)
Mathematica Bohemica
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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.