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Bi-Sobolev mappings and elliptic equations in the plane

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00206656" target="_blank" >RIV/00216208:11320/09:00206656 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Bi-Sobolev mappings and elliptic equations in the plane

  • Original language description

    Suppose that $f=(u,v)$ is a homeomorphism in the plane of the Sobolev class $W^{1,1}_{loc}$ such that its inverse is of the same Sobolev class. We prove that $u$ and $v$ have the same set of critical points. We study similar question in higher dimension.

  • Czech name

  • Czech description

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/GP201%2F06%2FP100" target="_blank" >GP201/06/P100: 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>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • 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 Mathematical Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    355

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

  • UT code for WoS article

    000265801800003

  • EID of the result in the Scopus database