CONCENTRATION-COMPACTNESS PRINCIPLE FOR EMBEDDING INTO MULTIPLE EXPONENTIAL SPACES

Abstract

We prove the Concentration-Compactness Principle for the embedding of the Orlicz-Sobolev space of a borderline logarithmic type into the corresponding exponential Orlicz space.

Keywords

• Orlicz spaces
• Orlicz-Sobolev spaces
• embedding theorems
• sharp constants
• concentration-compactness principle