Analytic regularity of a free boundary problem

Details Analytic regularity of a free boundary problem Analytic regularity of a free boundary problem

2006-10-25

arxiv.org/abs/math/0610770v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

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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