On the Ashbaugh-Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian
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Publication:2063043
DOI10.2140/apde.2021.14.2069zbMath1487.35261arXiv1810.09415OpenAlexW4200036500MaRDI QIDQ2063043
Publication date: 10 January 2022
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.09415
Dirichlet problemeigenvaluesDirichlet eigenvaluesisoperimetric inequalityPayne-Pólya-Weinberger conjectureAshbaugh-Benguria conjecture
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral theory; eigenvalue problems on manifolds (58C40)
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- Bounds for ratios of the membrane eigenvalues
- Bounds for the third membrane eigenvalue
- A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
- A second proof of the Payne-Pólya-Weinberger conjecture
- Bounds for the ratios of the first three membrane eigenvalues
- A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space
- On the Ratio of Consecutive Eigenvalues
- A Bound for the Ratio of the First Two Eigenvalues of a Membrane
- Proof of the Payne-Pólya-Weinberger conjecture
- More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions
- A sharp bound for the ratio of the first two Dirichlet eigenvalues of a domain in a hemisphere of 𝕊ⁿ
- Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions
- On the Ratio of Consecutive Eigenvalues in N‐Dimensions