Harnack inequalities for evolving hypersurfaces on the sphere

Paul Bryan; Mohammad N. Ivaki; Julian Scheuer

doi:10.4310/CAG.2018.v26.n5.a2

Harnack inequalities for evolving hypersurfaces on the sphere

Paul Bryan^*, Mohammad N. Ivaki, Julian Scheuer

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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

Original language	English
Pages (from-to)	1047-1077
Number of pages	31
Journal	Communications in Analysis and Geometry
Volume	26
Issue number	5
DOIs	https://doi.org/10.4310/CAG.2018.v26.n5.a2
Publication status	Published - 2018

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title = "Harnack inequalities for evolving hypersurfaces on the sphere",

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

author = "Paul Bryan and Ivaki, {Mohammad N.} and Julian Scheuer",

year = "2018",

doi = "10.4310/CAG.2018.v26.n5.a2",

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T1 - Harnack inequalities for evolving hypersurfaces on the sphere

AU - Bryan, Paul

AU - Ivaki, Mohammad N.

AU - Scheuer, Julian

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85064485721&partnerID=8YFLogxK

U2 - 10.4310/CAG.2018.v26.n5.a2

DO - 10.4310/CAG.2018.v26.n5.a2

M3 - Article

SN - 1019-8385

VL - 26

SP - 1047

EP - 1077

JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

IS - 5

ER -

Harnack inequalities for evolving hypersurfaces on the sphere

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