An optimal Poincaré-Wirtinger inequality in Gauss space

DOI10.4310/MRL.2013.v20.n3.a3zbMath1286.35052arXiv1209.6469MaRDI QIDQ2448547

Cristina Trombetti, Barbara Brandolini, Antoine Henrot, Francesco Chiacchio

Publication date: 2 May 2014

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6469

zbMATH Keywords

sharp boundsHermite operatorNeumann eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items (6)

An isoperimetric inequality for Gauss-like product measures ⋮ The clamped plate in Gauss space ⋮ On discrete Wirtinger-Northcott problems ⋮ On how Poincaré inequalities imply weighted ones ⋮ The Friedland–Hayman inequality and Caffarelli’s contraction theorem ⋮ An isoperimetric inequality for fundamental tones of free plates with nonzero Poisson’s ratio

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