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

Ines Ben Ayed, Mohamed Khalil Zghal

This paper is devoted to the description of the lack of compactness of the Sobolev space $H_{rad}^2({\mathbb{R}}^4)$ in the Orlicz space $\mathcal{L}({\mathbb{R}}^4)$. The approach that we adopt to es…