68 citations · 161 across the 26 of their papers we have counts for
5 papers · 1 filter
Asymptotic behavior of flows by powers of the Gaussian curvature
Simon Brendle, Kyeongsu Choi, Panagiota Daskalopoulos
We consider a one-parameter family of strictly convex hypersurfaces in moving with speed , where denotes the outward-pointing unit normal vector and…
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…
Uniqueness of closed self-similar solutions to the Gauss curvature flow
Kyeongsu Choi, Panagiota Daskalopoulos
We show the uniqueness of strictly convex closed smooth self-similar solutions to the -Gauss curvature flow with . We introduce a Pogorelov type computation,…
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…
The flow on complete non-compact graphs
Kyeongsu Choi, Panagiota Daskalopoulos
We consider the flow on complete non-compact graphs. We prove that a complete graph evolves by the curvature up to some time depending on the radius of a sphere enc…