Abstract :
In this paper, we study the local behavior of a positive singular solution u near its singular points
of the following equation:
Δu(x) + d(x,Z)2Nu
n+2
n−2 =0 inΩ \ Z,
u(x) >0 and u ∈ C2 in Ω \ Z,
where N is a positive integer, Ω is a bounded open domain in Rn, Z is a finite set of points, and
d(x,Z) denotes the distance between x and Z.
2004 Elsevier Inc. All rights reserved.
