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

页码：299 / 309

页数：11

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