Optimal bounds for Neumann eigenvalues in terms of the diameter

DOI10.1007/S40316-023-00218-ZMaRDI QIDQ6618828

Antoine Henrot, Marco Michetti

Publication date: 15 October 2024

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville problemsharp boundsNeumann eigenvaluesdiameter constraint

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

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• Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound
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• Maximization of the second positive Neumann eigenvalue for planar domains
• Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros
• Polygons as Optimal Shapes with Convexity Constraint
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• On upper bounds for high order Neumann eigenvalues of convex domains in Euclidean space
• An isoperimetric sloshing problem
• A comparison between Neumann and Steklov eigenvalues

Related Items (2)

Geometric spectral theory. Abstracts from the workshop held August 20--25, 2023 ⋮ Optimization of Neumann eigenvalues under convexity and geometric constraints

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