First mixed Laplace eigenfunctions with no hot spots

DOI10.1090/proc/16939MaRDI QIDQ6658165

Unnamed Author

Publication date: 8 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

mixed Dirichlet-Neumann boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Stable solutions of semilinear elliptic problems in convex domains
• Potential and scattering theory on wildly perturbed domains
• A counterexample to the ``hot spots conjecture
• On the ``hot spots conjecture of J. Rauch
• Erratum to: ``Euclidean triangles have no hot spots
• Euclidean triangles have no hot spots
• Hot spots conjecture for a class of acute triangles
• The “hot spots” conjecture for a certain class of planar convex domains
• Critical points of Laplace eigenfunctions on polygons
• On the method of moving planes and the sliding method
• A Remark on Linear Elliptic Differential Equations of Second Order

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