Bernstein type result for constant mean curvature hypersurface

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.

Keywords

Constant mean curvature hypersurface / gradient estimate

References

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