Critical points of Laplace eigenfunctions on polygons

DOI10.1080/03605302.2022.2062572OpenAlexW3193369188MaRDI QIDQ5095451

Christopher M. Judge, Sugata Mondal

Publication date: 8 August 2022

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.10386

zbMATH Keywords

hot spotscritical pointsLaplacianeigenfunction

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

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• The hot spots problem in planar domains with on hole
• Partial differential equations. I: Basic theory
• Rearrangements and convexity of level sets in PDE
• Eigenfunctions and nodal sets
• A counterexample to the ``hot spots conjecture
• On the ``hot spots conjecture of J. Rauch
• A planar convex domain with many isolated ``hot spots on the boundary
• Erratum to: ``Euclidean triangles have no hot spots
• Euclidean triangles have no hot spots
• Hot spots conjecture for a class of acute triangles
• On Neumann eigenfunctions in lip domains

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