Erratum to: ``Euclidean triangles have no hot spots

DOI10.4007/annals.2022.195.1.5zbMath1484.35294OpenAlexW4205715171WikidataQ114022319 ScholiaQ114022319MaRDI QIDQ2078805

Sugata Mondal, Christopher M. Judge

Publication date: 4 March 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2022.195.1.5

zbMATH Keywords

second Neumann Laplacian eigenfunction on an acute triangle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (1)

Critical points of Laplace eigenfunctions on polygons

Cites Work

• Eigenvalue inequalities for the Laplacian with mixed boundary conditions
• A planar convex domain with many isolated ``hot spots on the boundary
• Euclidean triangles have no hot spots
• Hot spots conjecture for a class of acute triangles

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