72 citations · 407 across the 68 of their papers we have counts for
71 papers
Some estimates on stable minimal hypersurfaces in Euclidean space
Luen-Fai Tam
We derive some estimates for stable minimal hypersurfaces in . The estimates are related to recent proofs of Bernstein theorems for complete stable minimal hypersurfaces i…
Prescribed mean curvature flow for noncompact hypersurfaces in Lorentz manifolds
Luen-Fai Tam
Motivated by previous study on mean curvature flow and prescribed mean curvature flow on spatially compact space or asymptotically flat spacetime, in this work we will find suffici…
Rigidity of area non-increasing maps
Man-Chun Lee, Luen-Fai Tam, Jingbo Wan
In this work, we consider the area non-increasing map between manifolds with positive curvature. By exploring the strong maximum principle along the graphical mean curvature flow,…
Spacelike CMC surfaces near null infinity of the Schwarzschild spacetime
Luen-Fai Tam
Motivated by a result of Treibergs, given a smooth function f(y) on the standard sphere S^2, and any positive constant H_0, we construct a spacelike surface with constant mean curv…
Monotone quantities of -harmonic functions and their applications
Sven Hirsch, Pengzi Miao, Luen-Fai Tam
We derive local and global monotonic quantities associated to -harmonic functions on manifolds with nonnegative scalar curvature. As applications, we obtain inequalities relatin…
Rigidity of Lipschitz map using harmonic map heat flow
Man-Chun Lee, Luen-Fai Tam
Motivated by the Lipschitz rigidity problem in scalar curvature geometry, we prove that if a closed smooth spin manifold admits a distance decreasing continuous map of non-zero deg…