3 papers
math.AP2026
Improved lower bounds for Dirichlet eigenvalues of the Laplacian and poly-Laplacian on bounded Euclidean domains
Zhengchao Ji, Yong Luo
In this paper, we establish Brezin-Li-Yau type lower bounds for averaged sums of Dirichlet eigenvalues of the Laplacian and poly-Laplacian on bounded domains in Euclidean spaces. B…
math.AP2026
New inequalities for eigenvalues of the Dirichlet Laplacian on the hyperbolic space
Yong Luo
In this paper, motivated by study on universal inequalities for eigenvalues of the Dirichlet Laplacian, we prove some new inequalities for eigenvalues of the Dirichlet Laplacian on…
math.DG2026
A flow approach to the Toda system
Yong Luo, Linlin Sun, Guofang Wang
In this paper we introduce a flow to study the Toda system, which we call {\it Toda flow.} More generally, we introduce a flow of the Liouville systems, formulated as a coupled par…