Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839784 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 13 Pages |
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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Authors
Juan A. Aledo, Alfonso Romero, Rafael M. Rubio,