Two theorems on boundary properties of minimal surfaces in nonparametric form |
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Authors: | V M Miklyukov |
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Institution: | (1) Tyumen State University, USSR |
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Abstract: | Let D be a region with rectifiable Jordan boundary , and let z=f(x, y) be a minimal surface defined over D. This paper establishes that: 1) function z=f(x, y) almost everywhere on has finite or infinite angular boundary values; 2) if region D is the exterior of a circle then, almost everywhere on boundary , function z=f(x, y) can be continued by continuity.Translated from Matematicheskie Zametki, Vol. 21, No. 4, pp. 551–556, April, 1977. |
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