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New Bernstein Type Results in Weighted Warped Products

Ning Zhang

Journal of Mathematics · 2021

doi:10.1155/2021/5540712 (opens in a new tab)

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Abstract

In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products. Furthermore, we also prove very general Bernstein type results for the constant mean curvature equation for entire graphs in these ambient spaces.

Abstract licence: CC BY

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