Preprint 42/2006
On the Regularity of a Free Boundary Near Contact Points With a Fixed Boundary
John Andersson
Contact the author: Please use for correspondence this email.
Submission date: 25. Apr. 2006
Pages: 21
published in: Journal of differential equations, 232 (2007) 1, p. 285-302 
DOI number (of the published article): 10.1016/j.jde.2006.06.012
Bibtex
MSC-Numbers: 35J25, 35R35
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Abstract:
We investigate the regularity of a free boundary near contact points
with a fixed boundary, with 
boundary data,
for an obstacle-like free boundary problem. We will show that under certain
assumptions on the solution, and the boundary function, the free boundary is
uniformly 
up to the fixed boundary. We will also construct some
examples of irregular free boundaries.