Concentration-Compactness Principle for generalized Moser-Trudinger inequalities: characterization of the non-compactness in the radial case

Abstract

We extend a result concerning sequential weak continuity of the Moser functional to the case of a nontrivial weak limit and the borderlineexponent from the Concentration-Compactness Alternative.

Keywords

• Orlicz spaces
• Orlicz-Sobolev spaces
• embedding theorems
• sharp constants
• Moser-Trudinger inequality
• Concentration-Compactness Principle