2006/10/25 by Huiqiang Jiang, Jiang, Huiqiang
Mathematics · #49Q20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG #msc:49Q20
paper · pdf · doi:10.48550/arxiv.math/0610770
13 pages
arxiv created 2006/10/25 · arxiv updated 2009/12/01
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.