Analytic regularity of a free boundary problem
classification
🧮 math.AP
math.DG
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boundaryfreeanalyticproblemawayconsiderconstraintdimension
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In this paper, we consider a free boundary problem with volume constraint. We show that positive minimizer is locally Lipschitz and the free boundary is analytic away from a singular set with Hausdorff dimension at most $n-8$.
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