On Pleijel's nodal domain theorem for the Robin problem

DOI10.1112/blms.13005arXiv2303.08094MaRDI QIDQ6203673

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Publication date: 6 April 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.08094

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Cites Work

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• A geometric uncertainty principle with an application to Pleijel's estimate
• Counting nodal lines which touch the boundary of an analytic domain
• Inverse positivity for general Robin problems on Lipschitz domains
• Distance to \(C^k\) hypersurfaces
• On exact Pleijel's constant for some domains
• Counting nodal domains in Riemannian manifolds
• Courant-sharp Robin eigenvalues for the square and other planar domains
• Faber-Krahn inequalities in sharp quantitative form
• Bessel phase functions: calculation and application
• 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.
• The Packing of Equal Spheres
• Curvature Measures
• Inégalités isopérimétriques et applications
• Pleijel’s nodal domain theorem for free membranes
• Separation of Eigenvalues of the Wave Equation for the Unit Ball inR^N
• Semi-classical analysis of the Laplace operator with Robin boundary conditions
• On Pleijel's Nodal Domain Theorem
• Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter
• Nodal Sets of Steklov Eigenfunctions near the Boundary: Inner Radius Estimates
• Upper bounds for Courant-sharp Neumann and Robin eigenvalues

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