Estimates for lower order eigenvalues of a clamped plate problem

2009/06/29 by Qing-Ming Cheng, Cheng, Qing-Ming, Guangyue Huang +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities #Differential Equations and Numerical Methods #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0906.5192

openalex publication_date 2009/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a bounded domain Ω in a complete Riemannian manifold Mⁿ, we study estimates for lower order eigenvalues of a clamped plate problem. We obtain universal inequalities for lower order eigenvalues. We would like to remark that our results are sharp.

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