Isoperimetric control of the spectrum of a compact hypersurface

DOI10.1515/crelle-2012-0008zbMath1282.58017arXiv1007.0826OpenAlexW3104845354WikidataQ126012593 ScholiaQ126012593MaRDI QIDQ2861472

Bruno Colbois, Ahmad El Soufi, Alexandre Girouard

Publication date: 8 November 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0826

zbMATH Keywords

Laplace-Beltrami operatoreigenvalue boundscompact hypersurfaceisoperimetric ratio

Mathematics Subject Classification ID

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

Related Items (14)

A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle ⋮ Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results ⋮ Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space ⋮ Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces ⋮ Eigenvalues of the Laplacian and extrinsic geometry ⋮ The spectrum of the Laplacian: A geometric approach ⋮ Conformal upper bounds for the eigenvalues of the Laplacian and Steklov problem ⋮ Reilly's type inequality for the Laplacian associated to a density related with shrinkers for MCF ⋮ Weyl-type bounds for Steklov eigenvalues ⋮ Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index ⋮ Spectrum of the Laplacian with weights ⋮ Optimal Shapes Maximizing the Steklov Eigenvalues ⋮ Isoperimetric control of the Steklov spectrum ⋮ Conformal upper bounds for the eigenvalues of the p‐Laplacian

This page was built for publication: Isoperimetric control of the spectrum of a compact hypersurface