Quantitative Volume Estimate on Singular Sets of One-phase Free Boundary Problems in Ricci Limit Spaces
We study limit solutions of the one-phase free boundary problem on noncollapsed Ricci limit spaces. We introduce a quantitative stratification $\mathcal{S}^k_{\varepsilon,r}$ of the singular set of the free boundary that simultaneously captures the approximate splitting of the ambient space and the approximate homogene...