Mappings of finite distortion : size of the branch set
Abstract
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.
Main Authors
Format
Articles
Research article
Published
2020
Series
Subjects
Publication in research information system
Publisher
De Gruyter
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201806283376Use this for linking
Review status
Peer reviewed
ISSN
1864-8258
DOI
https://doi.org/10.1515/acv-2017-0034
Language
English
Published in
Advances in Calculus of Variations
Citation
- 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
License
Funder(s)
Research Council of Finland
Funding program(s)
Academy Project, AoF
Akatemiahanke, SA
Additional information about funding
Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta, Grant number: 277923. Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Grant number: 153599; Grant number: 165848.
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