Geodesic
Boundary properties of solutions of equations of minimal surface kind
Sbornik. Mathematics, Tome 192 (2001) no. 10, pp. 1491-1513 
V. M. Miklyukov. Boundary properties of solutions of equations of minimal surface kind. Sbornik. Mathematics, Tome 192 (2001) no. 10, pp. 1491-1513. http://geodesic.mathdoc.fr/item/SM_2001_192_10_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Generalized solutions of equations of minimal-surface type are studied. It is shown that a solution makes at most countably many jumps at the boundary. In particular, a solution defined in the exterior of a disc extends by continuity to the boundary circle everywhere outside a countable point set. An estimate of the sum of certain non-local characteristics of the jumps of a solution at the boundary is presented. A result similar to Fatou's theorem on angular boundary values is proved.

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