Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions

DOI10.1007/s11118-018-9752-0zbMath1456.35147arXiv1707.02269OpenAlexW2963658502WikidataQ128625831 ScholiaQ128625831MaRDI QIDQ2183754

Vladimir Lotoreichik, David Krejčiřík

Publication date: 27 May 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02269

zbMATH Keywords

lowest eigenvalueWillmore energycritical couplingRobin Laplacianparallel coordinatesspectral isoperimetric inequalitynegative boundary parameterspectral isochoric inequality

Mathematics Subject Classification ID

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

Related Items (13)

On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter ⋮ Optimization of the lowest eigenvalue of a soft quantum ring ⋮ An optimization problem for finite point interaction families ⋮ Parallel coordinates in three dimensions and sharp spectral isoperimetric inequalities ⋮ Spectral optimization for Robin Laplacian on domains admitting parallel coordinates ⋮ Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle ⋮ Simple bounds with best possible accuracy for ratios of modified Bessel functions ⋮ Reverse Faber-Krahn inequality for the \(p\)-Laplacian in hyperbolic space ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ Spectral optimization for singular Schrödinger operators ⋮ Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones ⋮ An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain

Cites Work

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• On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
• Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
• Quasi boundary triples and semi-bounded self-adjoint extensions
• Lower bounds for the nodal length of eigenfunctions of the Laplacian
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