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The equality case in a Poincare-Wirtinger type inequality
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SYSNO ASEP 0466556 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The 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 authors 4 Source Title Accademia Nazionale dei Lincei. Atti. Matematica e Applicazioni. Rendiconti - ISSN 1120-6330
Roč. 27, č. 4 (2016), s. 443-464Number of pages 16 s. Publication form Print - P Language eng - English Country CH - Switzerland Keywords Hermite operator ; Neumann eigenvalues ; thin strips Subject RIV BE - Theoretical Physics R&D Projects GA14-06818S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000386878700004 EID SCOPUS 84990890559 DOI 10.4171/RLM/743 Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2017
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