Analytic regularity of a free boundary problem
Analysis of PDEs
2007-05-23 v1 Differential Geometry
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 .
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Cite
@article{arxiv.math/0610770,
title = {Analytic regularity of a free boundary problem},
author = {Huiqiang Jiang},
journal= {arXiv preprint arXiv:math/0610770},
year = {2007}
}
Comments
13 pages