A proof of the triangular Ashbaugh-Benguria-Payne-Pólya-Weinberger inequality
From MaRDI portal
Publication:2080318
DOI10.4171/JST/409zbMath1498.35368arXiv2009.00927WikidataQ114573335 ScholiaQ114573335MaRDI QIDQ2080318
Michael Psenka, Ryan Arbon, Seyoon Ragavan, Mohammed Mannan
Publication date: 7 October 2022
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.00927
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15)
Related Items (2)
Shape optimization for the Laplacian eigenvalue over triangles and its application to interpolation error analysis ⋮ A proof of the triangular Ashbaugh-Benguria-Payne-Pólya-Weinberger inequality
Cites Work
- A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
- A proof of the triangular Ashbaugh-Benguria-Payne-Pólya-Weinberger inequality
- Precise bounds and asymptotics for the first Dirichlet eigenvalue of triangles and rhombi
- Sharp bounds for eigenvalues of triangles
- Isoperimetric inequalities for eigenvalues of triangles
- On the Ratio of Consecutive Eigenvalues
- Bounds for the First Eigenvalue of a Rhombic Membrane
- Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals
- On the concavity of zeros of bessel functions†
- Proof of the Payne-Pólya-Weinberger conjecture
- Eigenstructure of the Equilateral Triangle, Part I: The Dirichlet Problem
- A numerical study of the spectral gap
- On the Ratio of Consecutive Eigenvalues in N‐Dimensions
This page was built for publication: A proof of the triangular Ashbaugh-Benguria-Payne-Pólya-Weinberger inequality
