INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER

DOI10.1142/S0219199709003533zbMath1181.35153MaRDI QIDQ3398312

Takamichi Ichikawa, Qing-Ming Cheng, Shinji Mametsuka

Publication date: 28 September 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Yang-type inequalityinequality 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) Membranes (74K15)

Related Items (19)

Universal inequality and upper bounds of eigenvalues for non-integer poly-Laplacian on a bounded domain ⋮ Universal inequalities for lower order eigenvalues of self-adjoint operators and the poly-Laplacian ⋮ Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces ⋮ Estimates for eigenvalues of fourth-order elliptic operators in divergence form ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian ⋮ Inequalities for lower-order eigenvalues of a fourth-order elliptic operator ⋮ On eigenvalues of a system of elliptic equations and of the biharmonic operator ⋮ Estimates for the eigenvalues of the bi-drifting Laplacian on complete metric measure spaces ⋮ Inequalities for eigenvalues of a clamped plate problem ⋮ Eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on Ricci flat manifolds ⋮ Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons ⋮ Inequalities for eigenvalues of the buckling problem of arbitrary order ⋮ Universal inequalities for the eigenvalues of a power of the Laplace operator ⋮ Estimates for lower order eigenvalues of a clamped plate problem ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order ⋮ Unnamed Item ⋮ Estimates for eigenvalues of the poly-Laplacian with any order in a unit sphere ⋮ Estimates for the eigenvalues of the bi-drifting Laplacian on cigar soliton

Cites Work

• Unnamed Item
• Bounds on eigenvalues of Dirichlet Laplacian
• Extrinsic estimates for eigenvalues of the Laplace operator
• Bounds for the third membrane eigenvalue
• Bounds for the ratios of the first three membrane eigenvalues
• Estimates for eigenvalues of Laplacian operator with any order
• Lower order eigenvalues of Dirichlet Laplacian
• On the Ratio of Consecutive Eigenvalues
• More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions
• Inequalities for eigenvalues of a clamped plate problem

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