Analytic regularity of a free boundary problem

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. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2007-01, Vol.28 (1), p.1-14
Main Author: Jiang, Huiqiang
Format: Article
Language:English
Subjects:
Analysis
Boundary layer
Calculus of variations
Mathematics
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Summary: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. [PUBLICATION ABSTRACT]
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-006-0028-y