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Analytic regularity of a free boundary problem |
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| Authors: | Huiqiang Jiang |
| Institution: | (1) School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455, USA |
| Abstract: | 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. |
| Keywords: | 49Q20 |
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