NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS

DOI10.1142/S0219530513500024zbMath1273.35123OpenAlexW2168813967MaRDI QIDQ4908586

Alfonso Romero, Magdalena Caballero, Rafael M. Rubio

Publication date: 6 March 2013

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530513500024

zbMATH Keywords

Calabi-Bernstein problemgeneralized Robertson-Walker spacetimeelliptic nonlinear equationmaximal surface equationconstant mean curvature spacelike surface equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (8)

Constant mean curvature spacelike surfaces in Lorentzian warped products ⋮ Complete stationary spacelike surfaces in an \(n\)-dimensional generalized Robertson-Walker spacetime ⋮ Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems ⋮ Uniqueness of complete maximal surfaces in certain Lorentzian product spacetimes ⋮ Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems ⋮ Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ On uniqueness of the foliation by comoving observers restspaces of a generalized Robertson-Walker spacetime ⋮ Maximal surface equation on a Riemannian 2-manifold with finite total curvature

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