Lindelöf-type theorems for quasiconformal and quasiregular mappings
Matti Vuorinen (1983)
Banach Center Publications
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Displaying similar documents to “On local injectivity and asymptotic linearity of quasiregular mappings”
Lindelöf-type theorems for quasiconformal and quasiregular mappings
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Giovanni Porru (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Quasiregular mappings of maximal local modulus of continuity.
Kovalev, Leonid V. (2004)
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Nonremovable Cantor sets for bounded quasiregular mappings.
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Mappings of finite distortion: Removability of Cantor sets.
Rajala, Kai (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Behavior of quasiregular semigroups near attracting fixed points.
Mayer, Volker (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Defect relation and its realization for quasiregular mappings.
Rickman, Seppo (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Infinitesimal geometry of quasilinear mappings.
Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
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Point shift differentials and extremal quasiconformal mappings.
Strebel, Kurt (1998)
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Smooth quasiregular mappings with branching
Mario Bonk, Juha Heinonen (2004)
Publications Mathématiques de l'IHÉS
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We give an example of a -smooth quasiregular mapping in 3-space with nonempty branch set. Moreover, we show that the branch set of an arbitrary quasiregular mapping in-space has Hausdorff dimension quantitatively bounded away from . By using the second result, we establish a new, qualitatively sharp relation between smoothness and branching.