Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents

被引：28

作者：

Kang, DS ^{[1
]}

Peng, SJ

机构：

[1] S Cent Univ Natl, Dept Math, Wuhan 430074, Peoples R China

[2] Xiaogan Univ, Dept Math, Xiaogan 432100, Peoples R China

[3] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2004年 / 143卷 / 1期

关键词：

D O I：

10.1007/BF02803503

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega subset of RN be a smooth bounded domain such that 0 is an element of Omega, N greater than or equal to 3, 0 less than or equal to s < 2, 2(*) (s) = 2(N - s)/(N - 2). We prove the existence of nontrival solutions for the singular critical problem - Deltau - mu(u)/(\x\2) = \u\(2*(s)-2)/\x\(s) u +lambdau with Dirichlet boundary condition on Omega for suitable positive parameters lambda and mu.

引用

页码：281 / 297

页数：17

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