Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1)
Differential Geometry
2009-10-23 v2 Spectral Theory
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 th eigenvalue in terms of the first th eigenvalue independent of the domains.
Cite
@article{arxiv.0910.4100,
title = {Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1)},
author = {Guangyue Huang and Xingxiao Li},
journal= {arXiv preprint arXiv:0910.4100},
year = {2009}
}