| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611839 | Journal of Differential Equations | 2008 | 18 Pages |
Abstract
We investigate stability issues concerning the radial symmetry of solutions to Serrin's overdetermined problems. In particular, we show that, if u is a solution to Δu=n in a smooth domain Ω⊂Rn, 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
