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arXiv · 0910.4100

Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1)

Guangyue Huang·Xingxiao Li
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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 $k$th eigenvalue independent of the domains.

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Guangyue Huang, Xingxiao Li. 2009-10-23. Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1). https://arxiv.org/abs/0910.4100

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