Anisotropic capillary Gauss curvature flows converge to smooth solutions of capillary L_p Minkowski problems for even data with p > -n-1 and for non-even data with p > n+1.
Andrews, Gauss curvature flow: the fate of the rolling stones, Invent
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Capillary $L_p$ Minkowski Flows
Anisotropic capillary Gauss curvature flows converge to smooth solutions of capillary L_p Minkowski problems for even data with p > -n-1 and for non-even data with p > n+1.