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.