In this paper, we study the local behavior of a positive singular solution u near its singular points of the following equation: {Deltau(x)+d(x, Z)(2N)u n+2/n-2 = 0 in Omega\Z, {u(x)>0 and uis an element of C-2 in Omega\Z, where N is a positive integer, Omega is a bounded open domain in R-n, Z is a finite set of points, and d(x, Z) denotes the distance between x and Z. (C) 2004 Elsevier Inc. All rights reserved.Mathematics, AppliedMathematicsSCI(E)0ARTICLE2372-38830
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