Xuerong Qi

activity

20092025

most citedInequalities for eigenvalues of the buckling problem of arbitrary order

4 citations · 10 across the 11 of their papers we have counts for

collaborators

11 papers

math.DG2025

The first nonzero eigenvalue of the weighted p-Laplacian on differential forms

Mingzhu Miao, Xuerong Qi, Jiabin Yin

We introduce the weighted p-Laplace operator acting on differential forms on a metric measure space, which is a natural generalization of the p-Laplace operator defined by Seto [32…

math.DG2020

Some inequalities between Laplacian eigenvalues on Riemannian manifolds

Guangyue Huang, Xuerong Qi

In this paper, we study a first Dirichlet eigenfunction of the weighted $p$ -Laplacian on a bounded domain in a complete weighted Riemannian manifold. By constructing gradient estim…

math.DG2015

Estimates for eigenvalues of Lr operator on self-shrinkers

Guangyue Huang, Xuerong Qi, Hongjuan Li

Let $x : M \to R^{N}$ be an $n$ -dimensional compact self-shrinker in $R^{N}$ with smooth boundary $\partial Ω$ . In this paper, we study eigenvalues of the oper…

math.DG2015★ 1 cited

Estimates for eigenvalues of the operator $L_{r}$

Guangyue Huang, Xuerong Qi

In this paper, we consider an eigenvalue problem of the elliptic operator $L_{r} = div (T^{r} \nabla \cdot)$ on compact submanifolds in arbitrary codimension of space forms $\math…

math.DG2012★ 1 cited

Lower bound estimates for eigenvalues of the Laplacian

Qing-Ming Cheng, Xuerong Qi

For an $n$ -dimensional polytope $Ω$ in $R^{n}$ , we study lower bounds for eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. In the asymptotic formula on th…

math.DG2011

Eigenvalues of the Laplacian on Riemannian manifolds