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20112025
most citedThe Gap of the Consecutive Eigenvalues of the Drifting Laplacian on Metric Measure Spaces

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math.DG2013

Upper Bound Estimates for Eigenvalues of the Poly-Laplacian

Lingzhong Zeng

In this paper, we obtain a sharp upper bound for the sum of the first -th eigenvalues for this Dirichlet problem of poly-Laplacian with any order, which is viewed as an extensio…

math.DG2013

Eigenvalues of the Witten-Laplacian on compact Riemannian manifolds

Qing-Ming Cheng, Lingzhong Zeng

In this paper we study eigenvalues of the closed eigenvalue problem of the Witten-Laplacian on an -dimensional compact Riemannian manifold. Estimates for eigenvalues are given.…