2 papers
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…