21 citations · 48 across the 37 of their papers we have counts for
38 papers
Estimates for Eigenvalues of the Dirichlet Laplacian on Riemannian Manifolds
Daguang Chen, Qing-Ming Cheng
We revisit the eigenvalue problem of the Dirichlet Laplacian on bounded domains in complete Riemannian manifolds. By building on classical results like Li-Yau's and Yang's inequali…
Computing optimal partition problems via Lagrange multiplier approach
Qing Cheng, Jing Guo, Dong Wang
In this paper, we consider numerical approximations for the optimal partition problem using Lagrange multipliers. By rewriting it into constrained gradient flows, three and four st…
Complete minimal hypersurfaces in a hyperbolic space
Qing-Ming Cheng, Yejuan Peng
In this paper, we study -dimensional complete minimal hypersurfaces in a hyperbolic space of constant curvature . We prove that a -dimensional complete mini…
-dimensional complete vacuum static spaces
Qing-Ming Cheng, Guoxin Wei
In this paper, we study complete Vacuum Static Spaces. A complete classification of 3-dimensional complete Vacuum Static Spaces with non-negative scalar curvature and constant squa…
Complete hypersurfaces with -constant mean curvature in the unit spheres
Qing-Ming Cheng, Guoxin Wei
In this paper, we study -dimensional complete hypersurfaces with -constant mean curvature in the unit sphere. We give a lower bound of the scalar curvature for -dimensiona…
Examples of compact embedded -hypersurfaces
Qing-Ming Cheng, Junqi Lai, Guoxin Wei
In the paper, we construct compact embedded -hypersurfaces which are diffeomorphic to a sphere and are not isometric to a standard sphere. Hence, one can not expect to have Alex…