Mappings of finite distortion: the zero set of the Jacobian
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F03%3A00005524" target="_blank" >RIV/00216208:11320/03:00005524 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Mappings of finite distortion: the zero set of the Jacobian
Original language description
Both the zero set of the Jacobian and the branch set of a non-constant mapping of finite, (sub)exponentially integrable distortion have volume zero. If a mapping $f$ of finite distortion $K$ has essentially bounded multiplicity, and $K^{1/(n-1)}$ and theJacobian $J_f$ are integrable, then $J_f.gt.0$ a.e.
Czech name
Zobrazení s konečnou distorzí: nulová množina jakobiánu
Czech description
Nulová množina jakobiánu a 'branch set' nekonstantního zobrazení s konečnou distorzí mají míru nula.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F00%2F0767" target="_blank" >GA201/00/0767: Theory of real functions and distributions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of the European Mathematical Society
ISSN
1435-9855
e-ISSN
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Volume of the periodical
5
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
11
Pages from-to
95-105
UT code for WoS article
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EID of the result in the Scopus database
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