Electronic Journal of Differential Equations,
Conference 08 (2002), pp. 133-154

Title: Singular $p$-harmonic functions and related quasilinear
  equations on manifolds

Authors: Laurent V'eron (CNRS UMR, Parc de Grandmont, France)
 
Abstract: 
We give here an overview of some recent developments in the study
  of the description of singular solutions of
  $$
  -\nabla.(|\nabla u|^{p-2}\nabla u) +\varepsilon |u|^{q-1}u=0 %\label{NLE}
  $$
  in $\mathbb{R}^N\setminus \{0\}$, where $p>1$, $\varepsilon \in \{0,1,-1\}$
  and $q\geq p-1$.


Published October 21, 2002.
Math Subject Classifications: 35J50, 35J60.
Key Words: $p$-harmonic; singularity; degenerate equations.