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The equality case in a Poincare-Wirtinger type inequality

  1. 1.
    0466556 - ÚJF 2017 RIV CH eng J - Článek v odborném periodiku
    Brandolini, B. - Chiacchio, F. - Krejčiřík, David - Trombetti, C.
    The equality case in a Poincare-Wirtinger type inequality.
    Accademia Nazionale dei Lincei. Atti. Matematica e Applicazioni. Rendiconti. Roč. 27, č. 4 (2016), s. 443-464. ISSN 1120-6330
    Grant CEP: GA ČR(CZ) GA14-06818S
    Institucionální podpora: RVO:61389005
    Klíčová slova: Hermite operator * Neumann eigenvalues * thin strips
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 1.096, rok: 2016

    t 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.
    Trvalý link: http://hdl.handle.net/11104/0264832
Počet záznamů: 1