Characterization of the lack of compactness of $H^2_{rad}(\R^4)$ into the Orlicz space

Ines Ben Ayed; Mohamed Khalil Zghal

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arXiv · 1301.4475

Characterization of the lack of compactness of $H^2_{rad}(\R^4)$ into the Orlicz space

Ines Ben Ayed·Mohamed Khalil Zghal

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Abstract

This paper is devoted to the description of the lack of compactness of the Sobolev space $H^2_{rad}(\R^4)$ in the Orlicz space $\mathcal{L}(\R^4)$. The approach that we adopt to establish this characterization is in the spirit of the one adopted in the case of $H^1_{rad}(\R^2)$ into the Orlicz space $\mathcal{L}(\R^2)$ in \cite{Bahouri}.

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Ines Ben Ayed, Mohamed Khalil Zghal. 2013-01-18. Characterization of the lack of compactness of $H^2_{rad}(\R^4)$ into the Orlicz space. https://arxiv.org/abs/1301.4475

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