A Bernstein Type Result For Constant Mean Curvature Hypersurfaces

Posted on:2009-07-26

Degree:Master

Type:Thesis

Country:China

Candidate:Q Y Meng

Full Text:PDF

GTID:2120360272959084

Subject:Basic mathematics

Abstract/Summary:

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

Keywords/Search Tags:

constant mean curvature hypersurfaces, support function, gradient estimate

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