A global compactness result for singular elliptic problems involving critical Sobolev exponent

被引：65

作者：

Cao, DM ^{[1
]}

Peng, SJ

机构：

[1] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Xiao Gan Univ, Dept Math, Xiao Gan, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 06期

关键词：

Palais-Smale sequence; compactness; Sobolev and Hardy critical exponents;

D O I：

10.1090/S0002-9939-02-06729-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega subset of R-N be a bounded domain such that 0 is an element of Omega, N greater than or equal to 3, 2* = 2N/N-2, lambda is an element of R, epsilon is an element of R. Let {u(n)} subset of H-0(1)(Omega) be a (P.S.) sequence of the functional E-lambda,E-epsilon(u) = 1/2 integral(Omega)(\delu\(2) - lambdau(2) / \x\(2) - epsilonu(2)) - 1/2* integral(Omega)\u\(2*). We study the limit behaviour of un and obtain a global compactness result.

引用

页码：1857 / 1866

页数：10

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