Sharpness of the assumptions for the regularity of a homeomorphism
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10050521" target="_blank" >RIV/00216208:11320/10:10050521 - 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
Sharpness of the assumptions for the regularity of a homeomorphism
Original language description
The recent result shows that a homeomorphism $fin W^{1,n-1}_{loc}(Omega,rn)$ of finite distortion satisfies $f^{-1}in W^{1,1}_{loc}(f(Omega),rn)$. We show that this result is sharp in a sense that the crutial regularity condition $|Df|in L^{n-1}$ cannot be replaced by $|adj Df|in L^1$ or by a requirement that $|Df|$ belongs to some bigger Orlicz space.
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
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Continuities
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
Michigan Mathematical Journal
ISSN
0026-2285
e-ISSN
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Volume of the periodical
2010
Issue of the periodical within the volume
59
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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