Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 77, pp. 1-14.
Title: Asymptotic behavior of solutions for some nonlinear
partial differential equations on unbounded domains
Authors: Jacqueline Fleckinger (Univ. Toulouse-1, Toulouse, France)
Evans M. Harrell II (Georgia Inst. of Technology, Atlanta, USA)
Francois de Thelin (Univ. Paul Sabatier, Toulouse, France)
Abstract:
We study the asymptotic behavior of positive solutions $u$ of
$$ -\Delta_p u({\bf x}) = V({\bf x}) u({\bf x})^{p-1},
\quad p>1;\ {\bf x} \in \Omega,$$
and related partial differential inequalities, as well
as conditions for existence of such solutions.
Here, $\Omega$ contains the exterior of a ball in $\mathbb{R}^N$
$1