Upper bounds for Courant-sharp Neumann and Robin eigenvalues

DOI10.24033/bsmf.2800zbMath1454.58025arXiv1810.09950OpenAlexW3014848205MaRDI QIDQ5110487

Corentin Léna, Katie Gittins

Publication date: 19 May 2020

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09950

zbMATH Keywords

Neumann eigenvaluesEuclidean domainsCourant's nodal domain 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) Variational methods for eigenvalues of operators (49R05)

Related Items (1)

On Pleijel's nodal domain theorem for the Robin problem

Cites Work

• The weak Pleijel theorem with geometric control
• On the number of Courant-sharp Dirichlet eigenvalues
• An optimal Poincaré inequality for convex domains
• On the role of convexity in isoperimetry, spectral gap and concentration
• Blaschke's theorem for convex hypersurfaces
• Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions
• On nodal domains in Euclidean balls
• Remarks on courant's nodal line theorem
• A generalization of Courant's nodal domain theorem.
• Inégalités isopérimétriques et applications
• Blaschke’s rolling theorem in 𝑅ⁿ
• La formule de Steiner pour les érosions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Upper bounds for Courant-sharp Neumann and Robin eigenvalues