Harnack inequalities for evolving hypersurfaces on the sphere

Paul Bryan*, Mohammad N. Ivaki, Julian Scheuer

*Corresponding author for this work

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1 Citation (Scopus)


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 < p≤1. If f is the mean curvature, we obtain stronger Harnack inequalities.

Original languageEnglish
Pages (from-to)1047-1077
Number of pages31
JournalCommunications in Analysis and Geometry
Issue number5
Publication statusPublished - 2018

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