Semilinear subelliptic problems without compactness on Lie groups

被引：6
|
作者：
Schindler, I [1 ]
Tintarev, K
机构：
[1] Univ Toulouse 1, F-31042 Toulouse, France
[2] Univ Toulouse 3, CNRS, UMR 5640, F-31062 Toulouse, France
[3] Uppsala Univ, Uppsala, Sweden
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年 / 11卷 / 03期
关键词：
sublaplacian; Hormander condition; mountain pass; subelliptic operators; convergence; compactness; concentration;
D O I：
10.1007/s00030-004-1059-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An abstract version of concentration compactness on Hilbert spaces applies to to actions of non-compact Lie groups. Using the concentration-compactness argument we prove existence of solutions for semilinear problems involving sub-Laplacians on the whole Lie group and on their certain non-compact subsets, including minimizers for Sobolev inequalities. The result is stated for any real connected finite-dimensional Lie group.
引用
收藏
页码：299 / 309
页数：11
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