Families of non-tiling domains satisfying Pólya’s conjecture

DOI10.1063/5.0161050arXiv2204.08902OpenAlexW4389307181MaRDI QIDQ6142781

Isabel M. C. Salavessa, Pedro Freitas

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2204.08902

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05)

Cites Work

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• Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces
• On the Schrödinger equation and the eigenvalue problem
• Lower bounds for the eigenvalues of the fixed vibrating membrane problems
• Upper bounds for the Neumann eigenvalues on a bounded domain in Euclidean space
• Bounds for eigenvalues of Polya's 'plane-covering domains' by filling a torus or a cylinder
• Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
• Two-term, asymptotically sharp estimates for eigenvalue means of the Laplacian
• Optimal unions of scaled copies of domains and Pólya's conjecture
• Upper and lower bounds for the first Dirichlet eigenvalue of a triangle
• On the Eigenvalues of Vibrating Membranes^†
• DISTRIBUTION OF THE EIGENVALUES OF THE STURM-LIOUVILLE OPERATOR EQUATION
• On a Theorem of Polya
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Pólya's conjecture for Euclidean balls

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