Free-boundary regularity on the focusing problem for the Gauss Curvature Flow with flat sides

2001 ◽  
Vol 237 (4) ◽  
pp. 847-874 ◽  
Author(s):  
P. Daskalopoulos ◽  
K. Lee
Keyword(s):  
Free Boundary ◽  
Boundary Regularity ◽  
Gauss Curvature ◽  
Curvature Flow ◽  
Free Boundary Regularity ◽  
Gauss Curvature Flow

scholarly journals The evolution of complete non-compact graphs by powers of Gauss curvature

2019 ◽  
Vol 2019 (757) ◽  
pp. 131-158
Author(s):  
Kyeongsu Choi ◽  
Panagiota Daskalopoulos ◽  
Lami Kim ◽  
Ki-Ahm Lee
Keyword(s):  
Gauss Curvature ◽  
Curvature Flow ◽  
Positive Power ◽  
Strictly Convex ◽  
Gauss Curvature Flow ◽  
Time Existence

AbstractWe prove the all-time existence of non-compact, complete, strictly convex solutions to the α-Gauss curvature flow for any positive power α.

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