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Mappings of finite distortion: the zero set of the Jacobian

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F03%3A00005524" target="_blank" >RIV/00216208:11320/03:00005524 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Mappings of finite distortion: the zero set of the Jacobian

  • Original language description

    Both the zero set of the Jacobian and the branch set of a non-constant mapping of finite, (sub)exponentially integrable distortion have volume zero. If a mapping $f$ of finite distortion $K$ has essentially bounded multiplicity, and $K^{1/(n-1)}$ and theJacobian $J_f$ are integrable, then $J_f.gt.0$ a.e.

  • Czech name

    Zobrazení s konečnou distorzí: nulová množina jakobiánu

  • Czech description

    Nulová množina jakobiánu a 'branch set' nekonstantního zobrazení s konečnou distorzí mají míru nula.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F00%2F0767" target="_blank" >GA201/00/0767: Theory of real functions and distributions</a><br>

  • 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

    2003

  • 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 European Mathematical Society

  • ISSN

    1435-9855

  • e-ISSN

  • Volume of the periodical

    5

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    11

  • Pages from-to

    95-105

  • UT code for WoS article

  • EID of the result in the Scopus database