Electronic Journal of Differential Equations,
Conference 06 (2001), pp. 29-44.

Title: Behaviour near zero and near infinity of solutions to elliptic 
  equalities and inequalities.

Authors: Marie-Francoise Bidaut-Veron (CNRS UMR, Tours, France)
 
Abstract: 
  Here we consider elliptic equations and inequalities involving 
  quasilinear operators in divergence form and nonlinear lower order 
  terms:
  $$-\mathop{\rm div}\left(\mathcal{A}(x,u,\nabla u)\right)
  \geq |x|^\sigma u^Q\quad(Q>0,\sigma \in \mathbb{R}),
  $$
  in dimension $N\geq 3$. We study the asymptotic behaviour of the 
  solutions and give {\it a priori} estimate and non-existence results.

Published January 8, 2001.
Math Subject Classifications: 35J55, 35J60.
Key Words: A priori estimates; non-existence results; 
  degenerate quasilinear inequalities.