On the full regularity of the free boundary in a class of variational problems

Author:
Arshak Petrosyan

Journal:
Proc. Amer. Math. Soc. **136** (2008), 2763-2769

MSC (2000):
Primary 35R35

Published electronically:
March 21, 2008

MathSciNet review:
2399040

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Abstract | References | Similar Articles | Additional Information

Abstract: We consider nonnegative minimizers of the functional

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Additional Information

**Arshak Petrosyan**

Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Email:
arshak@math.purdue.edu

DOI:
https://doi.org/10.1090/S0002-9939-08-09476-8

Keywords:
Regularity of the free boundary,
degenerate/singular variational problem,
Bernstein-type theorem,
improvement of flatness

Received by editor(s):
March 6, 2006

Published electronically:
March 21, 2008

Additional Notes:
The author was supported in part by NSF grant DMS-0401179.

Communicated by:
David S. Tartakoff

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.