Estimates on the eigenvalues of the clamped plate problem on domains in Euclidean spaces
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Publication:5397798
DOI10.1063/1.4801446zbMath1282.74056OpenAlexW1982983242MaRDI QIDQ5397798
Selma Yıldırım Yolcu, Türkay Yolcu
Publication date: 24 February 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4801446
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Cites Work
- Unnamed Item
- A lower bound for eigenvalues of a clamped plate problem
- On the Schrödinger equation and the eigenvalue problem
- Eigenvalue inequalities for Klein-Gordon operators
- Pólya's conjecture in the presence of a constant magnetic field
- Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
- Rayleigh's conjecture on the principal frequency of the clamped plate
- On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions
- Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators
- BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN
- An improvement to a Berezin-Li-Yau type inequality
- Unrestricted lower bounds for eigenvalues for classes of elliptic equations and systems of equations with applications to problems in elasticity
- On the Eigenvalues of Vibrating Membranes†
- A lower bound for sums of eigenvalues of the Laplacian
- Two new Weyl-type bounds for the Dirichlet Laplacian
- Can One Hear the Shape of a Drum?
- On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
- COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
- On the eigenvalues and eigenfunctions of elastic plates