On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator

被引：17

作者：

Chaudhuri, Nirmalendu ^{[1
]}

Cirstea, Florica C. ^{[2
]}

机构：

[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 3-4期

基金：

澳大利亚研究理事会;

关键词：

EQUATIONS;

D O I：

10.1016/j.crma.2008.12.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note, we present a complete classification of singularities of positive solutions of the equation Delta u + mu/vertical bar x vertical bar(2)u = h(u) in Omega \ {0}, where Omega is a bounded domain of R-N N >= 3, 0 is an element of Omega, and 0 < mu < (N-2)(2)/4. The case mu = 0 with h(t) = t(q), q > 1 were treated by Brezis and Veron. To cite this article: N. Chaudhuri, F.C Cirstea, C. R. Acad. Sci. Paris, Ser I 347 (2009). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：153 / 158

页数：6

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