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Bernstein type result for constant mean curvature hypersurface

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Huaqiao Liu & Qingyu Meng

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  1. Huaqiao Liu
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  2. Qingyu Meng
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Correspondence to Qingyu Meng.

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Liu, H., Meng, Q. Bernstein type result for constant mean curvature hypersurface. Front. Math. China 3, 345–353 (2008). https://doi.org/10.1007/s11464-008-0030-0

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  • DOI: https://doi.org/10.1007/s11464-008-0030-0

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