Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces

DOI10.5802/aif.2918zbMath1321.58027arXiv1209.4869OpenAlexW2963797534WikidataQ59900421 ScholiaQ59900421MaRDI QIDQ486849

Mikhail Karpukhin, Iosif Polterovich, Gerasim Kokarev

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4869

zbMATH Keywords

Riemannian surfaceeigenvalue multiplicitySteklov problemnodal graphsnodal sets, nodal domains

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) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs on manifolds (35R01)

Related Items (12)

Spectral flow for pair compatible equipartitions ⋮ Degenerating sequences of conformal classes and the conformal Steklov spectrum ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces ⋮ Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane ⋮ Large Steklov eigenvalues via homogenisation on manifolds ⋮ Plongements polyédraux tendus et nombre chromatique relatif des surfaces à bord ⋮ Heat invariants of the Steklov problem ⋮ Laplace and Steklov extremal metrics via \(n\)-harmonic maps ⋮ Sharp eigenvalue bounds and minimal surfaces in the ball

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