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Quantitative Volume Estimate on Singular Sets of One-phase Free Boundary Problems in Ricci Limit Spaces

Bellati, Alejandro et al.
arXiv (All) · Papers
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53c23analysis-of-pdesdifferential-geometry
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
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