Nonparametric Hypersurfaces Moving by Powers of Gauss Curvature

Xiaolong Li; Kui Wang

doi:10.1307/mmj/1508810813

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Home > Journals > Michigan Math. J. > Volume 66 > Issue 4 > Article

November 2017 Nonparametric Hypersurfaces Moving by Powers of Gauss Curvature

Xiaolong Li, Kui Wang

Michigan Math. J. 66(4): 675-682 (November 2017). DOI: 10.1307/mmj/1508810813

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Abstract

We study asymptotic behavior of nonparametric hypersurfaces moving by $\alpha$ powers of Gauss curvature with $\alpha \gt 1/n$ . Our work generalizes the results of Oliker [Oli91] for $\alpha =1$ .

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Xiaolong Li. Kui Wang. "Nonparametric Hypersurfaces Moving by Powers of Gauss Curvature." Michigan Math. J. 66 (4) 675 - 682, November 2017. https://doi.org/10.1307/mmj/1508810813

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Received: 23 December 2015; Revised: 20 June 2017; Published: November 2017

First available in Project Euclid: 24 October 2017

zbMATH: 06822181

MathSciNet: MR3720319

Digital Object Identifier: 10.1307/mmj/1508810813

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Primary: 53C44

Secondary: 35K96

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Michigan Math. J.

Vol.66 • No. 4 • November 2017

University of Michigan, Department of Mathematics

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Xiaolong Li, Kui Wang "Nonparametric Hypersurfaces Moving by Powers of Gauss Curvature," Michigan Mathematical Journal, Michigan Math. J. 66(4), 675-682, (November 2017)

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