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arXiv · 1512.03374

Harnack inequalities for evolving hypersurfaces on the sphere

Paul Bryan·Mohammad N. Ivaki·Julian Scheuer
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Abstract

We prove Harnack inequalities for hypersurfaces flowing on the unit sphere by $p$-powers of a strictly monotone, 1-homogeneous, convex, curvature function $f$, $0<p\leq 1.$ If $f$ is the mean curvature, we obtain stronger Harnack inequalities.

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Paul Bryan, Mohammad N. Ivaki, Julian Scheuer. 2015-12-10. Harnack inequalities for evolving hypersurfaces on the sphere. https://doi.org/10.4310/cag.2018.v26.n5.a2

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