Asymptotic behaviour of extremal averages of Laplacian eigenvalues

DOI10.1007/s10955-017-1789-8zbMath1372.35198OpenAlexW2605660616MaRDI QIDQ2410020

Pedro Freitas

Publication date: 16 October 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-017-1789-8

zbMATH Keywords

asymptotic behaviourDirichlet Laplacianeigenvalue averages

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (5)

Shifted lattices and asymptotically optimal ellipses ⋮ Asymptotic behaviour of cuboids optimising Laplacian eigenvalues ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres ⋮ Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles ⋮ Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains

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• MINIMIZING DIRICHLET EIGENVALUES ON CUBOIDS OF UNIT MEASURE
• Optimal spectral rectangles and lattice ellipses
• Asymptotic behaviour of optimal spectral planar domains with fixed perimeter
• Numerical minimization of eigenmodes of a membrane with respect to the domain

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