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Asymptotic values of minimal graphs in a disc

Pascal CollinHarold Rosenberg — 2010

Annales de l’institut Fourier

We consider solutions of the prescribed mean curvature equation in the open unit disc of euclidean n-dimensional space. We prove that such a solution has radial limits almost everywhere; which may be infinite. We give an example of a solution to the minimal surface equation that has finite radial limits on a set of measure zero, in dimension two. This answers a question of Nitsche.

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