24 citations · 28 across the 6 of their papers we have counts for
6 papers · 1 filter
Complete translating solitons to the mean curvature flow in with nonnegative mean curvature
Joel Spruck, Ling Xiao
We prove that any complete immersed two-sided mean convex translating soliton for the mean curvature flow is convex. As a corollary it follows that an entir…
Motion Of Level Set By General Curvature
Ling Xiao
In this paper, we study the motion of level sets by general curvature. The difficulty of this setting is that a general curvature function is only well defined in an admissible con…
Gradient estimates and lower bound for the blow-up time of star-shaped mean curvature flow
Ling Xiao
In this paper we consider a star-shaped hypersurface flow by mean curvature. Without any assumption on the convexity, we give a new proof of gradient estimate for a short time. As…
Minimal Graphs and Graphical Mean Curvature Flow in
Matthew McGonagle, Ling Xiao
In this paper, we investigate the problem of finding minimal graphs in with general boundary conditions using a variational approach. We look at so called gene…
Convex Spacelike Hypersurfaces of Constant Curvature in de Sitter Space
Joel Spruck, Ling Xiao
We show that for a very general and natural class of curvature functions (for example the curvature quotients ) the problem of finding a complete spaceli…
Curvature flow of complete hypersurfaces in hyperbolic space
Ling Xiao
In this paper we continue our study of finding the curvature flow of complete hypersurfaces in hyperbolic space with a prescribed asymptotic boundary at infinity. Our main results…