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

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

2009-10-21

arxiv.org/abs/0910.4100v2

Mathematics

Differential Geometry

Scientific paper

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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