collaborators

4 papers

math.DG2026

Estimates of -capacity for manifolds with Ricci curvature bounded from below

Xiaoshang Jin, Zhiwei Lü, Jiabin Yin

We study sharp estimates for the -capacity on complete non-compact Riemannian manifolds under lower Ricci curvature bounds. First, we establish sharp comparison inequalities for…

math.DG2026

Principal frequency estimates on non-compact manifolds with negative Ricci curvature

Xiaoshang Jin, Zhiwei Lü

We establish a lower bound for the principal frequency on a bounded domain in a non-compact Riemannian manifold of dimension Under the assumption that…

math.DG2026

Estimate for the first Dirichlet eigenvalue of Laplacian on non-compact manifolds

Xiaoshang Jin, Zhiwei Lü

In this paper, we establish a sharp lower bound for the first Dirichlet eigenvalue of the -Laplacian on bounded domains of a complete, non-compact Riemannian manifold with non-n…

math.DG2026

Lower bound for the first eigenvalue of Laplacian and applications in asymptotically hyperbolic Einstein manifolds

Xiaoshang Jin

This paper investigates the first Dirichlet eigenvalue for the -Laplacian in Riemannian manifolds. Firstly, we establish a lower bound for this eigenvalue under the condition th…