Weinstock inequality in higher dimensions

DOI10.4310/jdg/1620272940zbMath1468.35038arXiv1710.04587OpenAlexW3161169992WikidataQ115164465 ScholiaQ115164465MaRDI QIDQ2039749

Cristina Trombetti, Dorin Bucur, Carlo Nitsch, Vincenzo Ferone

Publication date: 5 July 2021

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04587

zbMATH Keywords

inverse mean curvature flowStekloff eigenvalueWeinstock inequality

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (12)

Shape optimization for the Steklov problem in higher dimensions ⋮ Higher dimensional surgery and Steklov eigenvalues ⋮ Geometric inequalities involving three quantities in warped product manifolds ⋮ An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole ⋮ The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ The orthotropic \(p\)-Laplace eigenvalue problem of Steklov type as \(p\rightarrow+\infty\) ⋮ Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ THE STEKLOV SPECTRUM OF CUBOIDS ⋮ Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue ⋮ Laplace and Steklov extremal metrics via \(n\)-harmonic maps

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