6533b824fe1ef96bd128148e
RESEARCH PRODUCT
The equality case in a Poincaré–Wirtinger type inequality
David KrejcirikCristina TrombettiFrancesco ChiacchioBarbara Brandolinisubject
Hermite operatorsymbols.namesakePure mathematicsNeumann eigenvaluesSettore MAT/05 - Analisi MatematicaHermite operator Neumann eigenvalues thin stripsGeneral MathematicsPoincaré conjecturesymbolsType inequalityThin stripsMathematicsdescription
It is known that, for any convex planar set W, the first non-trivial Neumann eigenvalue μ1 (Ω) of the Hermite operator is greater than or equal to 1. Under the additional assumption that Ω is contained in a strip, we show that β1 (Ω) = 1 if and only if Ω 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 | Rendiconti Lincei - Matematica e Applicazioni |