Jacobian of weak limits of Sobolev homeomorphisms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390740" target="_blank" >RIV/00216208:11320/18:10390740 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1515/acv-2016-0005" target="_blank" >https://doi.org/10.1515/acv-2016-0005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/acv-2016-0005" target="_blank" >10.1515/acv-2016-0005</a>
Alternative languages
Result language
angličtina
Original language name
Jacobian of weak limits of Sobolev homeomorphisms
Original language description
Let Omega be a domain in R-n, where n = 2, 3. Suppose that a sequence of Sobolev homeomorphisms f(k) : Omega -> R-n with positive Jacobian determinants, J(x, f(k)) > 0, converges weakly in W-1,W- p(Omega, R-n), for some p >= 1, to a mapping f. We show that J(x, f) >= 0 a.e. in Omega. Generalizations to higher dimensions are also given.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/LL1203" target="_blank" >LL1203: Properties of functions and mappings in Sobolev spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Calculus of Variations
ISSN
1864-8258
e-ISSN
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Volume of the periodical
11
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
9
Pages from-to
65-73
UT code for WoS article
000418565700003
EID of the result in the Scopus database
2-s2.0-85040164809