Eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on Ricci flat manifolds

DOI10.1016/j.jmaa.2014.03.050zbMath1327.35270OpenAlexW2020751043MaRDI QIDQ483009

Feng Du, Chang-Yu Xia, Guang Han Li, Chuan Xi Wu

Publication date: 15 December 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.050

zbMATH Keywords

eigenvaluespolyharmonic operatorbuckling problemuniversal boundsRicci flat manifold

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Global Riemannian geometry, including pinching (53C20) Boundary value problems on manifolds (58J32)

Related Items (5)

Eigenvalue inequalities for the buckling problem of the drifting Laplacian on Ricci solitons ⋮ Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian ⋮ Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order

Cites Work

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• Universal bounds for eigenvalues of Laplacian operator of any order
• Inequalities for eigenvalues of the buckling problem of arbitrary order
• Universal bounds for eigenvalues of a buckling problem
• Universal inequalities for eigenvalues of the buckling problem on spherical domains
• Estimates for eigenvalues of Laplacian operator with any order
• Universal bounds for eigenvalues of a buckling problem II
• Universal bounds for eigenvalues of the polyharmonic operators
• INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER
• Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

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