Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 950380, 10 pages
doi:10.1155/2010/950380
Research Article

A Nonlinear Inequality Arising in Geometry and Calabi-Bernstein Type Problems

Alfonso Romero1 and Rafael M. Rubio2

1Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain
2Departamento de Matemáticas, Campus de Rabanales, Universidad de Córdoba, 14071 Córdoba, Spain

Received 28 May 2010; Revised 19 August 2010; Accepted 18 September 2010

Academic Editor: Martin Bohner

Copyright © 2010 Alfonso Romero and Rafael M. Rubio. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A characterization for the entire solutions of a nonlinear inequality, which has a natural interpretation in terms of certain nonflat Robertson-Walker spacetimes, is given. As an application, new Calabi-Bernstein type problems are solved.