Geodesic
Boundary properties of solutions of equations of minimal surface kind
Sbornik. Mathematics, Tome 192 (2001) no. 10, pp. 1491-1513

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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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     author = {V. M. Miklyukov},
     title = {Boundary properties of solutions of equations of minimal surface kind},
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     number = {10},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2001_192_10_a4/}
}
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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/