Article ID Journal Published Year Pages File Type
839784 Nonlinear Analysis: Theory, Methods & Applications 2014 13 Pages PDF
Abstract

In this paper we provide several uniqueness and non-existence results for complete parabolic constant mean curvature spacelike hypersurfaces in Lorentzian warped products under appropriate geometric assumptions. As a consequence of this parametric study, we obtain very general uniqueness and non-existence results for a large family of uniformly elliptic EDP’s, so solving the Calabi–Bernstein problem in a wide family of spacetimes.

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Physical Sciences and Engineering Engineering Engineering (General)
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