Fatou's Theorem and minimal graphs
Differential Geometry
2009-04-19 v3
Abstract
In this paper we extend a recent result of Collin-Rosenberg ({\it a solution to the minimal surface equation in the Euclidean disc has radial limits almost everywhere}) to a large class of differential operators in Divergence form. Moreover, we construct an example (in the spirit of \cite{CR2}) of a minimal graph in , where is a Hadamard surface, over a geodesic disc which has finite radial limits in a mesure zero set.
Keywords
Cite
@article{arxiv.0903.2684,
title = {Fatou's Theorem and minimal graphs},
author = {Jose M. Espinar and Harold Rosenberg},
journal= {arXiv preprint arXiv:0903.2684},
year = {2009}
}
Comments
13 figures