On the lack of compactness on stratified Lie groups

Chieh-Lei Wong (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

In $\mathbb{R}^d$, the characterization of the \mbox{lack of compactness of the continuous Sobolev injection $ \mathring{H}^s \hookrightarrow L^p $}, with $ \displaystyle{\frac{s}{d} + \frac{1}{p} = \frac{1}{2}} $ and $\displaystyle{0

Domaines: Equations aux dérivées partielles [math.AP]

Chieh-Lei Wong. On the lack of compactness on stratified Lie groups. 2014. ⟨hal-00926239v2⟩