21 citations · 48 across the 37 of their papers we have counts for
4 papers · 2 filters
Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian
Qing-Ming Cheng, He-Jun Sun, Guoxin Wei +1
In this paper, we investigate the Dirchlet eigenvalue problems of poly-Laplacian with any order and quadratic polynomial operator of the Laplacian. We give some estimates for lower…
Estimates for eigenvalues of operator on Self-Shrinkers
Qing-Ming Cheng, Yejuan Peng
In this paper, we study eigenvalues of the closed eigenvalue problem of the differential operator , which is introduced by Colding and Minicozzi in [4], on an -dimensional c…
Eigenvalues of the Laplacian on Riemannian manifolds
Qing-Ming Cheng, Xuerong Qi
For a bounded domain with a piecewise smooth boundary in a complete Riemannian manifold , we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. By makin…
Bounds for eigenvalue ratios of the Laplacian
Qing-Ming Cheng, Xuerong Qi
For a bounded domain with a piecewise smooth boundary in an -dimensional Euclidean space , we study eigenvalues of the Dirichlet eigenvalue problem of the La…