English

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 \mr\mr, where \m\m 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

R2 v1 2026-06-21T12:40:54.176Z