Universal inequalities on complete noncompact smooth metric measure spaces

DOI10.1007/S00013-017-1099-ZzbMath1378.35205OpenAlexW2755268888MaRDI QIDQ1682412

Feng Du, Yan-Li Li

Publication date: 30 November 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-017-1099-z

zbMATH Keywords

sectional curvaturedrifting Laplacianuniversal inequalityweighted Ricci curvaturecomplete noncompact smooth metric measure space

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)

Related Items (4)

Estimates for the higher eigenvalues of the drifting Laplacian on Hadamard manifolds ⋮ Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces ⋮ Estimates for eigenvalues of weighted Laplacian and weighted \(p\)-Laplacian ⋮ Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds

Cites Work

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• Estimates of the gaps between consecutive eigenvalues of Laplacian
• Eigenvalues of the drifting Laplacian on complete noncompact Riemannian manifolds
• Eigenvalue estimates on domains in complete noncompact Riemannian manifolds
• Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons
• Estimates for eigenvalues of a system of elliptic equations with drift and of bi-drifting Laplacian
• Comparison geometry for the Bakry-Emery Ricci tensor
• Universal bounds for eigenvalues of a buckling problem
• Bounds on eigenvalues of Dirichlet Laplacian
• Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds
• Extrinsic estimates for eigenvalues of the Laplace operator
• Estimates on eigenvalues of Laplacian
• Estimates for eigenvalues of the bi-drifting Laplacian operator
• Universal bounds for eigenvalues of the polydrifting Laplacian operator in compact domains in the \(\mathbb R^n\) and \(\mathbb S^n\)
• Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds
• Eigenvalue inequalities for the buckling problem of the drifting Laplacian on Ricci solitons
• Inequalities for eigenvalues of a clamped plate problem

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