18 citations · 38 across the 29 of their papers we have counts for
8 papers · 1 filter
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…
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.
Estimates on the first two buckling eigenvalues on spherical domains
Guangyue Huang, Xingxiao Li, Xuerong Qi
In this paper, we study the first two eigenvalues of the buckling problem on spherical domains. We obtain an estimate on the second eigenvalue in terms of the first eigenvalue, whi…
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…
Eigenvalue estimates for the higher order buckling problem
Guangyue Huang, Xingxiao Li
In this paper, we consider lower order eigenvalues of Laplacian operator with any order in Euclidean domains. By choosing special rectangular coordinates, we obtain two estimates f…
Estimates for the higher order buckling eigenvalues in the unit sphere
Guangyue Huang, Xingxiao Li, Xuerong Qi
We consider the higher order buckling eigenvalues of the following Dirichlet poly-Laplacian in the unit sphere with order . We obtain universal bounds…
Estimates for lower order eigenvalues of a clamped plate problem
Qing-Ming Cheng, Guangyue Huang, Guoxin Wei
For a bounded domain in a complete Riemannian manifold , we study estimates for lower order eigenvalues of a clamped plate problem. We obtain universal inequalities for lo…
Lower order eigenvalues of the biharmonic operator
Guangyue Huang, Bingqing Ma
This paper has been withdrawn since the results are not satisfied.