MINIMIZING DIRICHLET EIGENVALUES ON CUBOIDS OF UNIT MEASURE

DOI10.1112/S0025579316000413zbMath1378.35091arXiv1607.02087OpenAlexW3102200551MaRDI QIDQ5361215

Katie Gittins, Michiel van den Berg

Publication date: 27 September 2017

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02087

zbMATH Keywords

variational problemsDirichlet eigenvalues of the Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items

TRIANGLES CAPTURING MANY LATTICE POINTS ⋮ Lattice points in stretched model domains of finite type in \(\mathbb{R}^d\) ⋮ Shifted lattices and asymptotically optimal ellipses ⋮ Asymptotic behaviour of extremal averages of Laplacian eigenvalues ⋮ Asymptotic behaviour of cuboids optimising Laplacian eigenvalues ⋮ Eigenvalue Optimisation on Flat Tori and Lattice Points in Anisotropically Expanding Domains ⋮ Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles ⋮ Lattice points in stretched finite type domains ⋮ THE STEKLOV SPECTRUM OF CUBOIDS ⋮ Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains

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