Well-posedness of Weinberger's center of mass by Euclidean energy minimization

DOI10.1007/s12220-020-00402-5zbMath1472.35256arXiv2003.09071OpenAlexW3016690499WikidataQ114221047 ScholiaQ114221047MaRDI QIDQ2050696

Richard Snyder Laugesen

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09071

zbMATH Keywords

shape optimizationmoment of inertiacentroidspectral maximization

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Length, area, volume, other geometric measure theory (28A75)

Related Items (2)

Two balls maximize the third Neumann eigenvalue in hyperbolic space ⋮ Well-posedness of Hersch-Szegő's center of mass by hyperbolic energy minimization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• Maximization of the second non-trivial Neumann eigenvalue
• Well-posedness of Hersch-Szegő's center of mass by hyperbolic energy minimization
• Maximization of the second positive Neumann eigenvalue for planar domains
• An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities
• Eigenvalue pinching on convex domains in space forms
• Sharp Upper Bound to the First Nonzero Neumann Eigenvalue for Bounded Domains in Spaces of Constant Curvature
• 7 Spectral inequalities in quantitative form

This page was built for publication: Well-posedness of Weinberger's center of mass by Euclidean energy minimization