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On Singular Points of Solutions of the Minimal Surface Equation on Sets of Positive Measure |
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| Authors: | |
| Institution: | 1.Institute of Mathematics,National Academy of Sciences of Ukraine,Kiev,Ukraine |
| Abstract: | It is shown that, for any compact set K ? ? n (n ? 2) of positive Lebesgue measure and any bounded domain G ? K, there exists a function in the Hölder class C1,1(G) that is a solution of the minimal surface equation in G \ K and cannot be extended from G \ K to G as a solution of this equation. |
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