Universal bounds for eigenvalues of a buckling problem

DOI10.1007/s00220-005-1480-9zbMath1170.35379OpenAlexW3160385678MaRDI QIDQ852403

Hongcang Yang, Qing-Ming Cheng

Publication date: 29 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-005-1480-9

zbMATH Keywords

eigenvaluesboundsbiharmonic operatorbuckling problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15)

Related Items

The lower and upper bounds of the first eigenvalues for the bi-Laplace operator on Finsler manifolds ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian on Ricci solitons ⋮ Extrinsic estimates for the eigenvalues of Schrödinger operator ⋮ Spectral theory for perturbed Krein Laplacians in nonsmooth domains ⋮ Lower bounds for sums of eigenvalues of the buckling problem ⋮ ESTIMATES FOR THE EIGENVALUES OF THE DRIFTING LAPLACIAN ON SOME COMPLETE RICCI SOLITONS ⋮ Universal inequalities for eigenvalues of the buckling problem on spherical domains ⋮ Universal inequalities on complete noncompact smooth metric measure spaces ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian ⋮ Estimates for eigenvalues of ℒr operator on self-shrinkers ⋮ The lower bounds of the first eigenvalues for the biharmonic operator on manifolds ⋮ On eigenvalues of a system of elliptic equations and of the biharmonic operator ⋮ Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds ⋮ Estimates for the eigenvalues of the bi-drifting Laplacian on complete metric measure spaces ⋮ Inequalities for eigenvalues of a clamped plate problem ⋮ Universal bounds for eigenvalues of the polyharmonic operators ⋮ Eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on Ricci flat manifolds ⋮ Inequalities for eigenvalues of the buckling problem of arbitrary order ⋮ Estimates of the first two buckling eigenvalues on spherical domains ⋮ A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains ⋮ Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order ⋮ Estimates for eigenvalues on Riemannian manifolds ⋮ Universal bounds for eigenvalues of a buckling problem II ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order ⋮ Estimates for the eigenvalues of the bi-drifting Laplacian on cigar soliton ⋮ Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds ⋮ On the spectral asymptotics for the buckling problem ⋮ Estimates for eigenvalues of the bi-drifting Laplacian operator

Cites Work

• Inequalities for eigenvalues of the biharmonic operator
• Bounds on eigenvalues of Dirichlet Laplacian
• The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
• Estimates on eigenvalues of Laplacian
• On the Ratio of Consecutive Eigenvalues
• A Note on Inequalities for Plate Eigenvalues
• Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
• On trace identities and universal eigenvalue estimates for some partial differential operators
• On the Ratio of Consecutive Eigenvalues in N‐Dimensions
• Inequalities for eigenvalues of a clamped plate problem
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