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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★ 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…