12 citations · 54 across the 27 of their papers we have counts for
6 papers · 1 filter
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…
Modulus of Continuity Estimates for Fully Nonlinear Parabolic Equations
Xiaolong Li
We prove that the moduli of continuity of viscosity solutions to fully nonlinear parabolic partial differential equations are viscosity subsolutions of suitable parabolic equations…
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…
On the second Robin eigenvalue of the Laplacian
Xiaolong Li, Kui Wang, Haotian Wu
We study the Robin eigenvalue problem for the Laplace-Beltrami operator on Riemannian manifolds. Our first result is a comparison theorem for the second Robin eigenvalue on geodesi…
First Robin Eigenvalue of the -Laplacian on Riemannian Manifolds
Xiaolong Li, Kui Wang
We consider the first Robin eigenvalue $ł_p(M,\a)$ for the -Laplacian on a compact Riemannian manifold with nonempty smooth boundary, with $\a \in \R$ being the Robin parame…