Title of article
On the stability of the Serrin problem
Author/Authors
B. Brandolini، نويسنده , , C. Nitsch، نويسنده , , P. Salani، نويسنده , , C. Trombetti، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
18
From page
1566
To page
1583
Abstract
We investigate stability issues concerning the radial symmetry of solutions to Serrinʹs overdetermined problems. In particular, we show that, if u is a solution to Δu=n in a smooth domain , u=0 on ∂Ω and Du is “close” to 1 on ∂Ω, then Ω is “close” to the union of a certain number of disjoint unitary balls.
Keywords
Overdetermined problems , stability
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2008
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751474
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