On Pacard's regularity for the equation $-Delta u = u^p$

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.

Bibliographic Details
Main Author: David R. Adams
Format: Article
Language:English
Published: Texas State University 2012-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/125/abstr.html