Universal inequalities for eigenvalues of a clamped plate problem on a hyperbolic space

DOI10.1090/S0002-9939-2010-10484-7zbMath1209.35089MaRDI QIDQ3082314

Qing-Ming Cheng, Hongcang Yang

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hyperbolic spacebiharmonic operatorclamped plate problemuniversal inequality for eigenvalues

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) Higher-order elliptic equations (35J30)

Related Items (10)

Fundamental tones of clamped plates in nonpositively curved spaces ⋮ Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian ⋮ Estimates for lower order eigenvalues of quadratic polynomials of the Laplacian ⋮ Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds ⋮ Inequalities for eigenvalues of a clamped plate problem ⋮ Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds ⋮ Inequalities for eigenvalues of fourth order elliptic operators in divergence form on Riemannian manifolds ⋮ Universal bounds for eigenvalues of a buckling problem II ⋮ EIGENVALUE ESTIMATES ON DOMAIN OF THE POLYDISK ⋮ Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds

Cites Work

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• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• On the Ratio of Consecutive Eigenvalues
• Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
• Inequalities for eigenvalues of a clamped plate problem

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