Inequalities for eigenvalues of a clamped plate problem
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Publication:5896793
DOI10.1090/S0002-9947-05-04023-7zbMath1096.35095MaRDI QIDQ5896793
Hongcang Yang, Qing-Ming Cheng
Publication date: 8 March 2006
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)
Related Items (43)
Extrinsic estimates for the eigenvalues of Schrödinger operator ⋮ Universal bounds for eigenvalues of the biharmonic operator ⋮ Universal bounds for eigenvalues of a buckling problem ⋮ Bounds on eigenvalues of Dirichlet Laplacian ⋮ Fundamental tones of clamped plates in nonpositively curved spaces ⋮ ESTIMATES FOR THE EIGENVALUES OF THE DRIFTING LAPLACIAN ON SOME COMPLETE RICCI SOLITONS ⋮ Universal inequality and upper bounds of eigenvalues for non-integer poly-Laplacian on a bounded domain ⋮ Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds ⋮ Universal inequalities for eigenvalues of the buckling problem on spherical domains ⋮ Upper and lower bounds for eigenvalues of the clamped plate problem ⋮ Lower bounds of Dirichlet eigenvalues for a class of higher order degenerate elliptic operators ⋮ Estimates for eigenvalues of ℒr operator on self-shrinkers ⋮ Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian ⋮ Estimates for lower order eigenvalues of quadratic polynomials of the Laplacian ⋮ A lower bound for eigenvalues of a clamped plate problem ⋮ On eigenvalues of a system of elliptic equations and of the biharmonic operator ⋮ Extrinsic estimates for eigenvalues of the Laplace operator ⋮ Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds ⋮ Estimates for weighted eigenvalues of a fourth-order elliptic operator with variable coefficients ⋮ Inequalities for eigenvalues of a clamped plate problem ⋮ Universal bounds for eigenvalues of the polyharmonic operators ⋮ EIGENVALUE ESTIMATES FOR QUADRATIC POLYNOMIAL OPERATOR OF THE LAPLACIAN ⋮ Estimates for eigenvalues of Laplacian operator with any order ⋮ Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons ⋮ Eigenvalue inequalities for the Markov diffusion operator ⋮ Inequalities for eigenvalues of the buckling problem of arbitrary order ⋮ Lower order eigenvalues of Dirichlet Laplacian ⋮ Universal inequalities for the eigenvalues of a power of the Laplace operator ⋮ Estimates on eigenvalues of Laplacian ⋮ Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order ⋮ Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds ⋮ Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds ⋮ Estimates for lower order eigenvalues of a clamped plate problem ⋮ Universal inequalities for eigenvalues of a clamped plate problem on a hyperbolic space ⋮ Eigenvalue inequalities for Klein-Gordon operators ⋮ INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER ⋮ Estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential ⋮ Estimates for eigenvalues on Riemannian manifolds ⋮ Inequalities for eigenvalues of fourth order elliptic operators in divergence form on Riemannian manifolds ⋮ Unnamed Item ⋮ EIGENVALUE ESTIMATES ON DOMAIN OF THE POLYDISK ⋮ Estimates for eigenvalues of the poly-Laplacian with any order in a unit sphere ⋮ Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds
Cites Work
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- Inequalities for eigenvalues of the biharmonic operator
- 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
- On the Ratio of Consecutive Eigenvalues
- Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
- Proof of the Payne-Pólya-Weinberger conjecture
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