Eigenvalue pinching on convex domains in space forms

DOI10.1090/S0002-9947-08-04775-2zbMath1171.35088arXivmath/0604576OpenAlexW1988513811MaRDI QIDQ3600626

Jérôme Bertrand, Erwann Aubry, Bruno Colbois

Publication date: 5 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604576

zbMATH Keywords

stabilityFaber-Krahn inequalityPayne-Polya-Weinberger inequality

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (2)

Well-posedness of Hersch-Szegő's center of mass by hyperbolic energy minimization ⋮ Well-posedness of Weinberger's center of mass by Euclidean energy minimization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rearrangements and convexity of level sets in PDE
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• The stability of some eigenvalue estimates
• Confinement of Brownian motion among Poissonian obstacles in \(\mathbb{R}^d, d\geq 3\)
• Stability results for the first eigenvalue of the Laplacian on domains in space forms.
• A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space
• Inégalités isopérimétriques et applications
• Elliptic Partial Differential Equations of Second Order
• A sharp bound for the ratio of the first two Dirichlet eigenvalues of a domain in a hemisphere of 𝕊ⁿ
• Notions of convexity

This page was built for publication: Eigenvalue pinching on convex domains in space forms