Mappings of finite distortion : size of the branch set
Guo, C.-Y., Hencl, S., & Tengvall, V. (2020). Mappings of finite distortion : size of the branch set. Advances in Calculus of Variations, 13(4), 325-360. https://doi.org/10.1515/acv-2017-0034
Julkaistu sarjassa
Advances in Calculus of VariationsPäivämäärä
2020Tekijänoikeudet
© 2018 Walter de Gruyter GmbH, Berlin/Boston
We study the branch set of a mapping between subsets of Rn, i.e., the set where a given mapping is not defining a local homeomorphism. We construct several sharp examples showing that the branch set or its image can have positive measure.
Julkaisija
De GruyterISSN Hae Julkaisufoorumista
1864-8258Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/27986086
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Suomen AkatemiaRahoitusohjelmat(t)
Akatemiahanke, SALisätietoja rahoituksesta
Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta, Grant number: 277923. Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Grant number: 153599; Grant number: 165848.Lisenssi
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Mappings of Finite Distortion : Compactness of the Branch Set
Kauranen, Aapo; Luisto, Rami; Tengvall, Ville (Hebrew University Magnes Press; Springer, 2021)We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show that this bound is strict by constructing ... -
Mappings of Finite Distortion : Compactness of the Branch Set
Kauranen, Aapo; Luisto, Rami; Tengvall, Ville (2018)We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show that this bound is strict by constructing ... -
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Open and discrete maps with piecewise linear branch set images are piecewise linear maps
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