Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

DOI10.1080/03605302.2010.498854zbMath1200.35201arXiv0910.2063OpenAlexW2963359931MaRDI QIDQ4933528

Xianqing Li-Jost, Qiaoling Wang, Juergen Jost, Chang-Yu Xia

Publication date: 14 October 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2063

zbMATH Keywords

eigenvaluessphereEuclidean spacebuckling problemuniversal bounds

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Boundary value problems on manifolds (58J32)

Related Items (7)

Eigenvalue inequalities for the buckling problem of the drifting Laplacian on Ricci solitons ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian ⋮ Estimates for eigenvalues of ℒr operator on self-shrinkers ⋮ Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds ⋮ 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 ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order

Cites Work

• Unnamed Item
• Unnamed Item
• Universal bounds for eigenvalues of a buckling problem
• Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds
• Universal inequalities for eigenvalues of the buckling problem on spherical domains
• On the upper bound of eigenvalues for elliptic equations with higher orders
• The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
• Estimates on eigenvalues of Laplacian
• A unified approach to universal inequalities for eigenvalues of elliptic operators
• Commutators, spectral trace identities, and universal estimates for eigenvalues
• On the Ratio of Consecutive Eigenvalues
• Some geometric bounds on eigenvalue gaps
• Commutator bounds for eigenvalues, with applications to spectralgeometry
• On trace identities and universal eigenvalue estimates for some partial differential operators
• Inequalities for eigenvalues of a clamped plate problem

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