
details Title Abstract We consider nonnegative solutions of $\Delta_p u=f(x,u)$, where
$p>1$ and $\Delta_p$ is the $p$Laplace operator, in a
smooth bounded domain of $\mathbb{R}^N$ with zero Dirichlet boundary
conditions. We introduce the notion of semistability for a
solution $u$, and we give examples and properties of this class of
solutions. Under some assumptions on $f$ that make its growth
comparable to $u^m$, we prove that every semistable solution is
bounded if $m We also study a type of semistable solutions called extremal solutions, for which we establish optimal $L^\infty$ estimates. Speaker(s) Date Time Room 

CMUC 
