Homeomorphisms in the Sobolev space $W^{1,n-1}$
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10050007" target="_blank" >RIV/00216208:11320/10:10050007 - 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
Homeomorphisms in the Sobolev space $W^{1,n-1}$
Original language description
We show that each homeomorphism $fin W^{1,n-1}_{loc}(Omega,rn)$ satisfies $f^{-1}in BV_{loc}(f(Omega),rn)$. If we moreover assume that $f$ has finite distortion, then $f^{-1}in W^{1,1}_{loc}(f(Omega),rn)$ and $f^{-1}$ has finite distortion.
Czech name
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Czech description
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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
Result was created during the realization of more than one project. More information in the Projects tab.
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
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal für die Reine und Angewandte Mathematik
ISSN
0075-4102
e-ISSN
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Volume of the periodical
2010
Issue of the periodical within the volume
644
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
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UT code for WoS article
000280482700008
EID of the result in the Scopus database
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