Nonhomogeneous inverse mean curvature flow in Euclidean space

Chen, Li; Guo, Xi; Tu, Qiang

doi:10.1090/proc/15099

Nonhomogeneous inverse mean curvature flow in Euclidean space
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by Li Chen, Xi Guo and Qiang Tu

Proc. Amer. Math. Soc. 148 (2020), 4557-4571

DOI: https://doi.org/10.1090/proc/15099

Published electronically: July 20, 2020

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Abstract:

We consider inverse mean curvature flows in Euclidean space with star-shaped initial hypersurface, driven by the nonhomogeneous function of mean curvature. We show that the solutions exist for all time and and converge smoothly to a round sphere after rescaling.

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