Bernstein type result for constant mean curvature
hypersurface

doi:10.1007/s11464-008-0030-0

Front. Math. China

2008, Vol. 3

Issue (3) : 345-353 https://doi.org/10.1007/s11464-008-0030-0

Bernstein type result for constant mean curvature hypersurface

LIU Huaqiao, MENG Qingyu

School of Mathematical Sciences, Fudan University;

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Abstract We prove a Bernstein type theorem for constant mean curvature hypersurfaces in Rⁿ⁺¹ under certain growth conditions for n ≤ 3. Our result extends the case when M is a minimal hypersurface in the same condition.

Issue Date: 05 September 2008

Cite this article:

LIU Huaqiao,MENG Qingyu. Bernstein type result for constant mean curvature hypersurface[J]. Front. Math. China, 2008, 3(3): 345-353.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-008-0030-0
https://academic.hep.com.cn/fmc/EN/Y2008/V3/I3/345

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