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math.DG2025
Deep estimates for higher eigenvalues of the poly-Laplacian
Zhengchao Ji, Hongwei Xu
We investigate the lower bound for higher eigenvalues of the poly-Laplace operator on a bounded domain and improve the famous Li-Yau inequality and its related results. First…
math.DG2020
Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem
Zhengchao Ji, Hongwei Xu
In this paper, we give some lower bounds for several eigenvalues. Firstly, we investigate the eigenvalues of the Laplace operator and prove a sharp lower bound. Moreover, we…