An Optimal Regularity Theory for Immersed Stable Minimal Hypersurfaces with Small Singular Set

Paul Minter, Zhengyi Xiao

We show that if $M^n$ is a properly immersed, two-sided, stable minimal hypersurface in $B_1^{n+1}(0)\setminus S$, where $S$ is closed with ${\mathcal{H}}^{n-2}(S)=0$, then $\text{di…