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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Harnack inequality for the negative power Gaussian curvature flow


Author: Yi Li
Journal: Proc. Amer. Math. Soc. 139 (2011), 3707-3717
MSC (2010): Primary 53C44, 53C40
Published electronically: April 1, 2011
MathSciNet review: 2813400
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Abstract: In this paper, we study the power of Gaussian curvature flow of a compact convex hypersurface and establish its Harnack inequality when the power is negative. In the Harnack inequality, we require that the absolute value of the power is strictly positive and strictly less than the inverse of the dimension of the hypersurface.


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Additional Information

Yi Li
Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Email: yili@math.harvard.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11039-6
PII: S 0002-9939(2011)11039-6
Keywords: Harnack inequality, negative power Gaussian curvature flow
Received by editor(s): August 29, 2010
Published electronically: April 1, 2011
Communicated by: Jianguo Cao
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.