Fatou's Theorem and minimal graphs

2009/03/16 by Espinar, Jose M., Rosenberg, Harold
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0903.2684

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 \citeCR2) 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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