From Steklov to Neumann and Beyond, via Robin: The Szegő Way

DOI10.4153/S0008414X19000154zbMath1439.35348arXiv1811.05573OpenAlexW2962693639MaRDI QIDQ3300101

Pedro Freitas, Richard Snyder Laugesen

Publication date: 27 July 2020

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05573

zbMATH Keywords

absorbing boundary conditionconformal mappingvibrating membraneSteklovNeumannRobin

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Related Items (12)

PDE comparison principles for Robin problems ⋮ Two balls maximize the third Neumann eigenvalue in hyperbolic space ⋮ On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter ⋮ Spectral optimization for Robin Laplacian on domains admitting parallel coordinates ⋮ Maximizers beyond the hemisphere for the second Neumann eigenvalue ⋮ From Steklov to Neumann via homogenisation ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ A sharp isoperimetric inequality for the second eigenvalue of the Robin plate ⋮ 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 ⋮ The Bilaplacian with Robin Boundary Conditions ⋮ Robin spectrum: two disks maximize the third eigenvalue

Uses Software

• DLMF

Cites Work

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