On Pacard's regularity for the equation $-Delta u = u^p$
oleh: David R. Adams
| Format: | Article |
|---|---|
| Diterbitkan: | Texas State University 2012-08-01 |
Deskripsi
It is shown that the singular set for a positive solution of the PDE $-Delta u = u^p$ has Hausdorff dimension less than or equal to $n - 2p'$, as conjectured by Pacard [12 in 1993.