David R. Adams
Abstract:
It is shown that the singular set for a positive solution of
the PDE
has Hausdorff dimension
less than or equal to
,
as conjectured by Pacard [12]
in 1993.
Submitted June 4, 2012. Published August 2, 2012.
Math Subject Classifications: 35D10, 35J60.
Key Words: Weak solutions; singular set; regularity.
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David R. Adams Department of Mathematics University of kentucky, POT 714 Lexington, KY 40506, USA email: dave@ms.uky.edu |
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