Approximation of W1,p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50014879" target="_blank" >RIV/62690094:18470/18:50014879 - isvavai.cz</a>

Result on the web

<a href="http://www.karlin.mff.cuni.cz/kma-preprints/2016-pap/2016-522.pdf" target="_blank" >http://www.karlin.mff.cuni.cz/kma-preprints/2016-pap/2016-522.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aim.2018.04.017" target="_blank" >10.1016/j.aim.2018.04.017</a>

Result language

angličtina

Original language name

Approximation of W1,p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian

Original language description

Let $Omega subset R^{n}$, $n ge 4$, be a domain and $1leq p &lt; [n/2]$, where $[a]$ stands for the integer part of $a$. We construct a homeomorphism $f in W^{1,p}((-1,1)^{n}, R^n)$ such that $J_{f} = det Df &gt; 0$ on a set of positive measure and $J_{f}&lt;0$ on a set of positive measure. It follows that there are no diffeomorphisms (or piecewise affine homeomorphisms) $f_{k}$ such that $f_{k} to f$ in $W^{1,p}$.

Czech name

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Czech description

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Type

J_imp - 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

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Advances in mathematics

ISSN

0001-8708

e-ISSN

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Volume of the periodical

331

Issue of the periodical within the volume

Jun

Country of publishing house

US - UNITED STATES

Number of pages

82

Pages from-to

748-829

UT code for WoS article

000434747900018

EID of the result in the Scopus database

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