NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS-Reference-Cited by-同舟云学术

NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS

Published:2013-01 Issue:01 Volume:11 Page:1350002
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

CABALLERO MAGDALENA¹,ROMERO ALFONSO²,RUBIO RAFAEL M.¹

Affiliation:

1. Departamento de Matemáticas, Campus de Rabanales, Universidad de Córdoba, 14071 Córdoba, Spain

2. Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain

Abstract

Uniqueness and non-existence results of entire solutions to the maximal surface equation and to the constant mean curvature spacelike surface equation on certain complete non-compact Riemannian surfaces are obtained.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530513500024

Reference22 articles.

1. On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space

2. On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space

3. Zero mean curvature surfaces with non–negative curvature in flat Lorentzian 4–spaces

4. Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes

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