Some comparisons of Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds

DOI10.1007/s11464-021-0078-7OpenAlexW4387122868MaRDI QIDQ6082870

Guangyue Huang, Bingqing Ma

Publication date: 7 December 2023

Published in: Frontiers of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-021-0078-7

zbMATH Keywords

Dirichlet eigenvalueNeumann eigenvaluebuckling eigenvalueclamped plate eigenvalue

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) PDEs on manifolds (35R01)

Cites Work

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• Upper and lower bounds for eigenvalues of the clamped plate problem
• The Bochner technique and modification of the Ricci tensor
• Estimates for eigenvalues of the Paneitz operator
• Inequalities between Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds
• Comparison geometry for the Bakry-Emery Ricci tensor
• Inequalities between Dirichlet and Neumann eigenvalues
• Some inequalities between Dirichlet and Neumann eigenvalues
• Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Symmetry Theorems Related to Pompeiu's Problem