3 papers
math.DG2021
Eigenvalues for the Clamped Plate Problem of Operator on Complete Riemannian manifolds
Lingzhong Zeng
operator is an important extrinsic differential operator of divergence type and has profound geometric settings. In this paper, we consider the clamped plate probl…
math.DG2021
Eigenvalue Inequalities for the Clamped Plate Problem of Operator
Lingzhong Zeng
operator is introduced by Y.-L. Xin (\emph{Calculus of Variations and Partial Differential Equations. 2015, \textbf{54}(2):1995-2016)}, which is an important ex…
math.DG2016
The Gap of the Consecutive Eigenvalues of the Drifting Laplacian on Metric Measure Spaces
Lingzhong Zeng
In this paper, we investigate eigenvalues of the Dirichlet problem and the closed eigenvalue problem of drifting Laplacian on the complete metric measure spaces and establish the c…