Geodesic
Removable Singularities of Solutions of the Minimal Surface Equation
Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 4, pp. 62-68.

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Suppose that $G$ is a bounded domain in $\mathbb{R}^n$ ($n\ge 2$), $E\ne G$ is a relatively closed set in $G$, and $0\alpha1$. We prove that $E$ is removable for solutions of the minimal surface equation in the class $C^{1,\alpha}(G)_{\operatorname{loc}}$ if and only if the ($n-1+\alpha$)-dimensional Hausdorff measure of $E$ is zero.
Keywords: removable singularity, minimal surface, Hölder class, Hausdorff measure. 
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A. V. Pokrovskii. Removable Singularities of Solutions of the Minimal Surface Equation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 4, pp. 62-68. http://geodesic.mathdoc.fr/item/FAA_2005_39_4_a4/

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