2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118109In 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 $n-8$.13 pagesAnalysis of PDEsDifferential Geometry49Q20text