Estimates on eigenvalues for the biharmonic operator on a bounded domain in Hⁿ(-1)

2009/10/21 by Guangyue Huang, Huang, Guangyue, Xingxiao Li +1
Computer Science · Mathematics · #35P15 #53C20 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0910.4100

openalex publication_date 2009/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider eigenvalues of the Dirichlet biharmonic operator on a bounded domain in a hyperbolic space. We obtain universal bounds on the (k+1)th eigenvalue in terms of the first kth eigenvalue independent of the domains.

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