Spectral optimization for Robin Laplacian on domains admitting parallel coordinates

DOI10.1002/mana.202000013zbMath1523.35235arXiv2001.02718OpenAlexW3047205511MaRDI QIDQ6093925

Pavel Exner, Vladimir Lotoreichik

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02718

zbMATH Keywords

eigenvalue optimizationmin-max principlesecond eigenvaluecurved stripRobin Laplacianparallel coordinatesexterior of a convex set

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (2)

Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain

Cites Work

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• On the Placement of an Obstacle or a Well so as to Optimize the Fundamental Eigenvalue
• From Steklov to Neumann and Beyond, via Robin: The Szegő Way
• Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
• From Neumann to Steklov and beyond, via Robin: The Weinberger way
• Robin spectrum: two disks maximize the third eigenvalue
• The Robin Laplacian—Spectral conjectures, rectangular theorems
• Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
• Geodesic Parallel Coordinates in the Large
• 4 The Robin problem

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