NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS
From MaRDI portal
Publication:4908586
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
Calabi-Bernstein problemgeneralized Robertson-Walker spacetimeelliptic nonlinear equationmaximal surface equationconstant mean curvature spacelike surface equation
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
Cites Work
- Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
- A generalization of the concept of constant mean curvature and canonical time
- On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- New examples of Calabi-Bernstein problems for some nonlinear equations.
- Inhomogeneous cosmological models with homogeneous inner hypersurface geometry
- On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space
- Uniqueness of maximal surfaces in generalized Robertson-Walker spacetimes and Calabi-Bernstein type problems
- On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space
- Isometric immersions of Riemannian manifolds
- On the mean curvature of spacelike surfaces in certain three-dimensional Robertson-Walker spacetimes and Calabi-Bernstein's type problems
- Generalized maximal surfaces in Lorentz–Minkowski space L3
- Harmonic functions on complete riemannian manifolds
- Zero mean curvature surfaces with non–negative curvature in flat Lorentzian 4–spaces
- Simple proof of Calabi-Bernstein’s Theorem on maximal surfaces
- New proof of the Calabi-Bernstein theorem
- Constant mean curvature spacelike surfaces in three-dimensional generalized Robertson-Walker spacetimes
This page was built for publication: NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS
