23 citations · 157 across the 57 of their papers we have counts for
4 papers · 1 filter
On the uniqueness of energy-minimizing curves in constrained spaces
Ki-Ahm Lee, Taehun Lee
In this paper, we investigate energy-minimizing curves with fixed endpoints and in a constrained space. We prove that when one of the endpoints, say , is fixed, the set…
Translating solutions to the Gauss curvature flow with flat sides
Kyeongsu Choi, Panagiota Daskalopoulos, Ki-Ahm Lee
We derive local estimates for complete non-compact translating solitons of the Gauss curvature flow in which are graphs over a convex domain . This is clo…
The evolution of complete non-compact graphs by powers of Gauss curvature
Kyeongsu Choi, Panagiota Daskalopoulos, Lami Kim +1
We study the evolution of convex complete non-compact graphs by positive powers of Gauss curvature. We show that if the initial complete graph has a local uniform convexity, then t…
Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature
Hyunsuk Kang, Lami Kim, Ki-Ahm Lee
We show the existence of a smooth solution for the flow deformed by the square root of the scalar curvature multiplied by a positive anisotropic factor given a strictly convex…