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.
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页码：1857 / 1866
页数：10
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