Communications in Analysis and Geometry
Volume 26 (2018)
Harnack inequalities for evolving hypersurfaces on the sphere
Pages: 1047 – 1077
We prove Harnack inequalities for hypersurfaces flowing on the unit sphere by $p$-powers of a strictly monotone, $1$-homogeneous, convex, curvature function $f, 0 \lt p \leq 1$. If $f$ is the mean curvature, we obtain stronger Harnack inequalities.
Received 11 December 2015
Published 3 January 2019