Fatou's Theorem and minimal graphs

Details Fatou's Theorem and minimal graphs Fatou's Theorem and minimal graphs

2009-03-16

arxiv.org/abs/0903.2684v3

Mathematics

Differential Geometry

13 figures

Scientific paper

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 $\mr$, where $\m$ is a Hadamard surface, over a geodesic disc which has finite radial limits in a mesure zero set.

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