Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions

DOI10.5802/aif.3243zbMath1419.35137arXiv1609.02331OpenAlexW2962862849WikidataQ125814130 ScholiaQ125814130MaRDI QIDQ2421911

Corentin Léna

Publication date: 18 June 2019

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

Full work available at URL: https://arxiv.org/abs/1609.02331

zbMATH Keywords

nodal domainsNeumann eigenvaluesPleijel's theoremCourant's theoremRobin eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (7)

A theory of spectral partitions of metric graphs ⋮ Upper bounds for Courant-sharp Neumann and Robin eigenvalues ⋮ On Pleijel's nodal domain theorem for the Robin problem ⋮ Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders ⋮ Courant-sharp Robin eigenvalues for the square and other planar domains ⋮ On Courant’s Nodal Domain Property for Linear Combinations of Eigenfunctions Part II ⋮ Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter

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