10 citations · 15 across the 4 of their papers we have counts for
10 papers · 1 filter
Lower bounds for the first eigenvalue of -Laplacian on Kähler manifolds
Kui Wang, Shaoheng Zhang
We study the eigenvalue problem for the -Laplacian on Kähler manifolds. Our first result is a lower bound for the first nonzero eigenvalue of the -Laplacian on compact Kähler…
Schwarz symmetrizations in parabolic equations on complete manifolds
Haiqing Cheng, Tengfei Ma, Kui Wang
In this article, we prove a sharp estimate for the solutions to parabolic equations on manifolds. Precisely, using symmetrization techniques and isoperimetric inequalities on Riema…
Eigenvalue Estimates on quaternion-Kähler Manifolds
Xiaolong Li, Kui Wang
We prove lower bound for the first closed or Neumann nonzero eigenvalue of the Laplacian on a compact quaternion-Kähler manifold in terms of dimension, diameter, and scalar curvatu…
Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds
Xiaolong Li, Kui Wang
We establish lower bound for the first nonzero eigenvalue of the Laplacian on a closed Kähler manifold in terms of dimension, diameter, and lower bounds of holomorphic sectional cu…
On a class of quasilinear operators on smooth metric measure spaces
Xiaolong Li, Yucheng Tu, Kui Wang
We derive sharp estimates on the modulus of continuity for solutions of a large class of quasilinear isotropic parabolic equations on smooth metric measure spaces (with Dirichlet o…
An upper bound for the first nonzero Steklov eigenvalue
Xiaolong Li, Kui Wang, Haotian Wu
Let be a complete simply connected -dimensional Riemannian manifold with curvature bounds for and $\operatorname{Ric}_g\geq(n-1…