Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter

DOI10.3233/ASY-201642zbMath1503.35117arXiv2003.11304OpenAlexW3089013268MaRDI QIDQ5018409

Bernard Helffer, Katie Gittins

Publication date: 16 December 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11304

zbMATH Keywords

squareCourant's nodal domain theoremCourant-sharpRobin eigenvaluesnegative parameter

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05)

Related Items (1)

On Pleijel's nodal domain theorem for the Robin problem

Cites Work

• Courant-sharp Robin eigenvalues for the square: the case with small Robin parameter
• Sturm's theorem on zeros of linear combinations of eigenfunctions
• Courant-sharp Robin eigenvalues for the square and other planar domains
• The first Robin eigenvalue with negative boundary parameter
• Bounds and extremal domains for Robin eigenvalues with negative boundary parameter
• Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions
• Nodal domains in the square---the Neumann case
• The Robin Laplacian—Spectral conjectures, rectangular theorems
• 4 The Robin problem

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