A characterization of the disk by eigenfunction of the Steklov eigenvalue

DOI10.1007/s00229-017-0916-9zbMath1378.58027OpenAlexW2586371440MaRDI QIDQ1679191

Pak Tung Ho

Publication date: 8 November 2017

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-017-0916-9

zbMATH Keywords

sphereeigenvalues of the LaplacianSteklov eigenvalue

Mathematics Subject Classification ID

Related Items (2)

Evolution of the Steklov eigenvalue under geodesic curvature flow ⋮ Evolution of the Steklov eigenvalue along the conformal mean curvature flow

Cites Work

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• Isoperimetric control of the Steklov spectrum
• The first Steklov eigenvalue, conformal geometry, and minimal surfaces
• Conformal upper bounds for the eigenvalues of the Laplacian and Steklov problem
• Upper bounds for Steklov eigenvalues on surfaces
• On Alexandrov-Bernstein theorems in hyperbolic space
• A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle
• Berger's isoperimetric problem and minimal immersions of surfaces
• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
• Riemannian manifolds admitting isometric immersions by their first eigenfunctions
• Differentiable rigidity of hypersurface in space forms
• Heat invariants of the Steklov problem
• A Characterization of the 2-Sphere by Eigenfunctions
• The Steklov spectrum of surfaces: asymptotics and invariants
• 5 Spectral geometry of the Steklov problem
• Extremal Metric for the First Eigenvalue on a Klein Bottle
• Minimal surfaces and eigenvalue problems

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