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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Displaying similar documents to “Linear dilatation and absolute continuity.”
Normal families, multiplicity and the branch set of quasiregular maps.
On -homeomorphisms.
Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Pathwise connectivity in uniform domains with small exceptional sets.
Tossavainen, Timo (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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About the -measure of a set. II.
Bărbulescu, Alina (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Definitions of quasiregularity.
Cristea, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Critical values lie on a line.
Ainouline, Azat (2004)
Abstract and Applied Analysis
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Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
Domenico Mucci (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study the lower semicontinuous envelope with respect to the -topology of a class of isotropic functionals with linear growth defined on mappings from the -dimensional ball into that are constrained to take values into a smooth submanifold of .
Generalized mean porosity and dimension.
Nieminen, Tomi (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Mappings of finite distortion: Global homeomorphism theorem.
Holopainen, Ilkka, Pankka, Pekka (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Smooth quasiregular maps with branching in
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.
Bi-Lipschitz mappings and quasinearly subharmonic functions.
Dovgoshey, Oleksiy, Riihentaus, Juhani (2010)
International Journal of Mathematics and Mathematical Sciences
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Remarks on the nonexistence of doubling measures.
Saksman, Eero (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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