21 citations · 48 across the 37 of their papers we have counts for
5 papers · 2 filters
A gap theorem of self-shrinkers
Qing-Ming Cheng, Guoxin Wei
In this paper, we study complete self-shrinkers in Euclidean space and prove that an -dimensional complete self-shrinker with polynomial volume growth in Euclidean space $\mathb…
Lower bound estimates for eigenvalues of the Laplacian
Qing-Ming Cheng, Xuerong Qi
For an -dimensional polytope in , we study lower bounds for eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. In the asymptotic formula on th…
Estimates for eigenvalues of the Paneitz operator
Qing-Ming Cheng
For an -dimensional compact submanifold in the Euclidean space , we study estimates for eigenvalues of the Paneitz operator on . Our estimates for eige…
Complete self-shrinkers of the mean curvature flow
Qing-Ming Cheng, Yejuan Peng
It is our purpose to study complete self-shrinkers in Euclidean space. By introducing a generalized maximum principle for -operator, we give estimates on supremum and…
Upper and lower bounds for eigenvalues of the clamped plate problem
Qing-Ming Cheng, Guoxin Wei
In this paper, we study estimates for eigenvalues of the clamped plate problem. A sharp upper bound for eigenvalues is given and the lower bound for eigenvalues in [10] is improved…