Rebuttal of Donnelly's paper on the spectral gap

DOI10.1007/s00209-011-0925-4zbMath1229.35152OpenAlexW1975783404MaRDI QIDQ641887

Antoine Henrot, Mark S. Ashbaugh, Richard Snyder Laugesen

Publication date: 25 October 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0925-4

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

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• Spectral gap for convex planar domains
• The diameter of the first nodal line of a convex domain
• The direct method in the calculus of variations for convex bodies
• Proof of the fundamental gap conjecture
• Polygons as Optimal Shapes with Convexity Constraint
• The Eigenvalue Gap for One-Dimensional Convex Potentials

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