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arXiv:math/0610770 [math.AP]AbstractReferencesReviewsResources

Analytic regularity of a free boundary problem

Huiqiang Jiang

Published 2006-10-25Version 1

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 $n-8$.

Comments: 13 pages
Categories: math.AP, math.DG
Subjects: 49Q20
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