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Smooth dependence on data of solutions and contact regions for a Signorini problem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00337047" target="_blank" >RIV/67985840:_____/10:00337047 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985840:_____/10:00357509

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Smooth dependence on data of solutions and contact regions for a Signorini problem

  • Original language description

    We prove that the solutions to a 2D Poisson equation with unilateral boundary conditions of Signorini type as well as their contact intervals depend smoothly on the data. The result is based on a certain local equivalence of the unilateral boundary valueproblem to a smooth abstract equation in a Hilbert space and on an application of the Implicit Function Theorem to that equation.

  • 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/IAA100190506" target="_blank" >IAA100190506: Bifurcations and dependence on parameters for variational inequalitites with interpretations in natural sciences</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Nonlinear Analysis: Theory, Methods & Applications

  • ISSN

    0362-546X

  • e-ISSN

  • Volume of the periodical

    72

  • Issue of the periodical within the volume

    3-4

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    21

  • Pages from-to

  • UT code for WoS article

    000273188500024

  • EID of the result in the Scopus database