Description of the lack of compactness in Orlicz spaces and applications

Ines Ben Ayed, Mohamed Khalil Zghal

In this paper, we investigate the lack of compactness of the Sobolev embedding of $H^1({\mathbb{R}}^2)$ into the Orlicz space $L^{{\varphi }_p}({\mathbb{R}}^2)$ associated to the function ${\varphi }_p$ defined by $ϕ_p…