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Extremal Domains and Pólya-type Inequalities for the Robin Laplacian on Rectangles and Unions of Rectangles

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Publication:5021477
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DOI10.1093/imrn/rnz204zbMath1489.35033arXiv1805.10075OpenAlexW2982340436MaRDI QIDQ5021477

Pedro Freitas, James Bernard Kennedy

Publication date: 13 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10075

zbMATH Keywords

eigenvaluesRobin boundary conditionsLaplacianPólya's conjecture


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items

Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles, The Robin Laplacian—Spectral conjectures, rectangular theorems, Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones



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