USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 313-342.

Generalized boundary value problems for nonlinear elliptic equations

Laurent Véron

Abstract:
We give here an overview of some recent developments in the study of the description of all the positive solutions of
$$ -\Delta u+|u|^{q-1}u=0 $$
in a domain $\Omega$ where q is greater than 1.

Published January 8, 2001.
Math Subject Classifications: 35J60, 35J67, 35D05.
Key Words: Dirichlet Problem, Radon and Borel measures.

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Laurent Veron
Laboratoire de Mathematiques et Physique Theorique
CNRS UMR 6083
Faculte des Sciences et Techniques
Parc de Grandmont
F 37200 Tours France
e-mail: veronl@univ-tours.fr

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