Počet záznamů: 1
The equality case in a Poincare-Wirtinger type inequality
- 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. E-ISSN 1720-0768
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