Intrinsic and extrinsic area density bounds are equivalent for complete connected smooth minimal immersions in Euclidean space of any dimension and codimension, enabling extension of Schoen-Simon-Yau estimates to n=6.
Stable solutions to semilinear elliptic equations are smooth up to dimension 9
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Equivalence of intrinsic and extrinsic area bounds for minimal surfaces
Intrinsic and extrinsic area density bounds are equivalent for complete connected smooth minimal immersions in Euclidean space of any dimension and codimension, enabling extension of Schoen-Simon-Yau estimates to n=6.