Electronic Journal of Differential Equations,
Conference 06 (2001), pp. 173-187.

Title: Behavior of positive radial solutions of a quasilinear equation
  with a weighted Laplacian

Authors: Marta Garcia-Huidobro (Pontificia Univ. Catolica de Chile, Santiago, Chile)
 
Abstract: 
  We obtain a  classification result for positive radially
  symmetric solutions of the semilinear equation
  $$
  -\mathop{\rm div}(\tilde a(|x|)\nabla u)=\tilde b(|x|)|u|^{\delta-1}u,
  $$
  on a punctured ball. The weight functions $\tilde a$ and $\tilde b$ are
  $C^1$ on the punctured ball, are positive and measurable almost everywhere,
  and satisfy certain growth conditions near zero.

Published January 8, 2001.
Math Subject Classifications: 34B16.
Key Words: weighted Laplacian; singular solution; fundamental solution.