For n=3,4,5 and δ above thresholds δ0(n), complete two-sided δ-stable minimal hypersurfaces in R^{n+1} have Euclidean volume growth, and for δ above δ1(n) they are hyperplanes.
Über ein geometrisches Theorem und sein e Anwendung auf die partiellen Diferential- gleichungen vom elliptischen Typus
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Complete two-sided $\delta$-stable minimal hypersurfaces in $\mathbf R^{n+1}$
For n=3,4,5 and δ above thresholds δ0(n), complete two-sided δ-stable minimal hypersurfaces in R^{n+1} have Euclidean volume growth, and for δ above δ1(n) they are hyperplanes.