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A sense-preserving Sobolev homeomorphism with negative Jacobian almost everywhere

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F22%3A50019416" target="_blank" >RIV/62690094:18470/22:50019416 - isvavai.cz</a>

  • Alternative codes found

    RIV/60076658:12510/22:43902596 RIV/00216208:11320/22:10456400

  • Result on the web

    <a href="https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms.12573" target="_blank" >https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms.12573</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1112/jlms.12573" target="_blank" >10.1112/jlms.12573</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A sense-preserving Sobolev homeomorphism with negative Jacobian almost everywhere

  • Original language description

    For every 1 &lt;= p&lt;32$1leqslant p&lt;frac{3}{2}$ we construct a Sobolev homeomorphism f is an element of W1,p([-1,1]4,[-1,1]4)$fin W&lt;^&gt;{1,p}([-1,1]&lt;^&gt;4,[-1,1]&lt;^&gt;4)$ such that f(x)=x$f(x)=x$ for every x is an element of partial differential [-1,1]4$xin partial [-1,1]&lt;^&gt;4$ but Jf&lt;0$J_f&lt;0$ a.e.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GJ20-19018Y" target="_blank" >GJ20-19018Y: Delicate analytical and topological tools for variational problems and modelling</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2022

  • 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 London Mathematical Society - Second Series

  • ISSN

    0024-6107

  • e-ISSN

    1469-7750

  • Volume of the periodical

    106

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    76

  • Pages from-to

    235-310

  • UT code for WoS article

    000778034300001

  • EID of the result in the Scopus database