publications

Article

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

Ben Ayed Ines, Zghal Mohamed Khalil, 2014

Communications in Contemporary Mathematics, 16, 4, Juillet 2014

Résumé

This paper is devoted to the description of the lack of compactness of the Sobolev embedding of $H^_{rad}(\R^4)$ into 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 |H. Bahouri, M. Majdoub and N. Masmoudi,On the lack of compactness in the 2D critical Sobolev embedding, J. Funct. Anal. 260 (2011) 208-252].