18 citations · 18 across the 3 of their papers we have counts for
3 papers
math.DG2009
Estimates on eigenvalues for the biharmonic operator on a bounded domain in H^n(-1)
Guangyue Huang, Xingxiao Li
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 ter…
math.DG2009
Lower order eigenvalues of the poly-Laplacian with any order on spherical domains
Guangyue Huang, Bingqing Ma
We consider the lower order eigenvalues of poly-Laplacian with any order on spherical domains. We obtain universal inequalities for them and show that our results are optimal.
math.DG2009★ 18 cited
Universal bounds on eigenvalues of the buckling problem on spherical domains
Guangyue Huang, Xingxiao Li, Linfen Cao
In this paper we study the eigenvalues of buckling problem on domains in a unit sphere. By introducing a new parameter and using Cauchy inequality, we optimize the inequality obtai…