on pacard's regularity for the equation $-delta u = u^p$
;David R. Adams
icsoft 2006 - 1st international conference on software and data technologies, proceedings2012Vol. 2012pp. 1-6
118
adams2012electronicon
Abstract
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.