On the lack of compactness on stratified Lie groups

Chieh-Lei Wong

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arXiv · 1401.1978

On the lack of compactness on stratified Lie groups

Chieh-Lei Wong

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Abstract

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

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Chieh-Lei Wong. 2014-01-09. On the lack of compactness on stratified Lie groups. https://arxiv.org/abs/1401.1978

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