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arXiv:1301.4475 [math.AP]AbstractReferencesReviewsResources

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

Ines Ben Ayed, Mohamed Khalil Zghal

Published 2013-01-18Version 1

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}.

Comments: arXiv admin note: text overlap with arXiv:1003.2562, arXiv:1112.2998 by other authors
Categories: math.AP, math.CA, math.FA
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