The quantitative Faber-Krahn inequality for the Robin Laplacian

DOI10.1016/j.jde.2017.12.014zbMath1387.35428arXiv1611.06704OpenAlexW2963556059MaRDI QIDQ683483

Vincenzo Ferone, Dorin Bucur, Carlo Nitsch, Cristina Trombetti

Publication date: 6 February 2018

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

Full work available at URL: https://arxiv.org/abs/1611.06704

zbMATH Keywords

Faber-Krahn inequalityquantitative estimatesRobin Laplacian

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)

A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle ⋮ A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue ⋮ Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter ⋮ Estimates for Robin \(p\)-Laplacian eigenvalues of convex sets with prescribed perimeter ⋮ Local spectral optimisation for Robin problems with negative boundary parameter on quadrilaterals ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ A quantitative Weinstock inequality for convex sets ⋮ Anisotropic isoperimetric inequalities involving boundary momentum, perimeter and volume ⋮ Stability and instability issues of the Weinstock inequality ⋮ Optimisation of the lowest Robin eigenvalue in the exterior of a compact set ⋮ Degenerate free discontinuity problems and spectral inequalities in quantitative form

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