Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1)
Guangyue Huang, Xingxiao Li · arXiv (Cornell University) · 2009
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.