%0 Journal Article %T On Pacard's regularity for the equation $-Delta u = u^p$ %A David R. Adams %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X 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. %K Weak solutions %K singular set %K regularity %U http://ejde.math.txstate.edu/Volumes/2012/125/abstr.html