Estimates on eigenvalues of Laplacian
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Publication:1772077
DOI10.1007/s00208-004-0589-zzbMath1122.35086OpenAlexW2003354703MaRDI QIDQ1772077
Hongcang Yang, Qing-Ming Cheng
Publication date: 15 April 2005
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-004-0589-z
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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Cites Work
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inequalities for eigenvalues of the biharmonic operator
- Eigenvalue estimates on homogeneous manifolds
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- 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
- The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
- Bounds for the ratios of the first three membrane eigenvalues
- Inequalities for eigenvalues of Laplacian on domains and compact complex hypersurfaces in complex projective spaces
- On the Ratio of Consecutive Eigenvalues
- Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
- Proof of the Payne-Pólya-Weinberger conjecture
- Some geometric bounds on eigenvalue gaps
- Commutator bounds for eigenvalues, with applications to spectralgeometry
- On trace identities and universal eigenvalue estimates for some partial differential operators
- Inequalities for eigenvalues of a clamped plate problem
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