2001-Luminy conference on Quasilinear Elliptic and Parabolic Equations and Systems
Electron. J. Diff. Eqns., Conf. 08, 2002, pp. 133-154.

Singular p-harmonic functions and related quasilinear equations on manifolds

Laurent Veron

Abstract:
We give here an overview of some recent developments in the study of the description of singular solutions of
$$ -\nabla.(|\nabla u|^{p-2}\nabla u) +\varepsilon |u|^{q-1}u=0 $$
in $\mathbb{R}^N\setminus \{0\}$, where $p$ greater than 1, $\varepsilon \in \{0,1,-1\}$ and $q\geq p-1$.

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Laurent Veron
Laboratoire de Mathematiques et Physique Theorique
CNRS UMR 6083
Faculte des Sciences et Techniques
Parc de Grandmont, France
e-mail: veronl@univ-tours.fr

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