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20162021
most citedSharp lower bound for the first eigenvalue of the Weighted -Laplacian

10 citations · 25 across the 4 of their papers we have counts for

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math.AP2020★ 6 cited

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…

math.AP2020

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…

math.AP2019

Sharp lower bound for the first eigenvalue of the Weighted -Laplacian II

Xiaolong Li, Kui Wang

Combined with our previous work \cite{LW19eigenvalue}, we prove sharp lower bound estimates for the first nonzero eigenvalue of the weighted -Laplacian with on a…

math.AP2019★ 10 cited

Sharp lower bound for the first eigenvalue of the Weighted -Laplacian

Xiaolong Li, Kui Wang

We prove sharp lower bound estimates for the first nonzero eigenvalue of the weighted -Lapacian operator with on a compact Bakry-Emery manifold satisf…

math.AP2016

Nonparametric hypersurfaces moving by powers of Gauss curvature

Xiaolong Li, Kui Wang

We study asymptotic behavior of nonparametric hypersurfaces moving by powers of Gauss curvature . Our work generalizes the results of V. Oliker [Oli91] for .