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The equality case in a Poincare-Wirtinger type inequality

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    SYSNO ASEP0466556
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleThe equality case in a Poincare-Wirtinger type inequality
    Author(s) Brandolini, B. (IT)
    Chiacchio, F. (IT)
    Krejčiřík, David (UJF-V) RID
    Trombetti, C. (IT)
    Number of authors4
    Source TitleAccademia Nazionale dei Lincei. Atti. Matematica e Applicazioni. Rendiconti - ISSN 1120-6330
    Roč. 27, č. 4 (2016), s. 443-464
    Number of pages16 s.
    Publication formPrint - P
    Languageeng - English
    CountryCH - Switzerland
    KeywordsHermite operator ; Neumann eigenvalues ; thin strips
    Subject RIVBE - Theoretical Physics
    R&D ProjectsGA14-06818S GA ČR - Czech Science Foundation (CSF)
    Institutional supportUJF-V - RVO:61389005
    UT WOS000386878700004
    EID SCOPUS84990890559
    DOI10.4171/RLM/743
    Annotationt is known that, for any convex planar set Omega, the first non-trivial Neumann eigenvalue mu(1)(Omega) of the Hermite operator is greater than or equal to 1. Under the additional assumption that W is contained in a strip, we show that mu(1)(Omega) = 1 if and only if W is any strip. The study of the equality case requires, among other things, an asymptotic analysis of the eigenvalues of the Hermite operator in thin domains.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 ; Renata Glasová, glasova@ujf.cas.cz, Tel.: 266 177 223
    Year of Publishing2017
Number of the records: 1