Semilinear subelliptic problems without compactness on Lie groups
Schindler, Ian ; Tintarev, Cyril
HAL, hal-00982446 / Harvested from HAL
Text on HAL
An abstract version of concentration compactness on Hilbert spaces applies to the actions of non-compact Lie groups. Using the concentration-compactness argument we prove the existence of solutions for semilinear problems involving sub-Laplacians on the whole Lie group and on certain of their non-compact subsets, including minimizers for Sobolev inequalities. The result is stated for any real connected finite-dimensional Lie group
Publié le : 2004-07-04
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00982446,
     author = {Schindler, Ian and Tintarev, Cyril},
     title = {Semilinear subelliptic problems without compactness on Lie groups},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00982446}
}

Schindler, Ian; Tintarev, Cyril. Semilinear subelliptic problems without compactness on Lie groups. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00982446/