Concentration-Compactness Principle for Moser-type Inequalities in Lorentz-Sobolev Spaces

Abstract

We obtain sharp constants concerning the Concentration compactness principle for Moser-type inequalities in Lorentz-Sobolev spaces. The results deal with the standard Lorentz quasinorm.

Keywords

• Sobolev spaces
• Lorentz-Sobolev spaces
• Moser-Trudinger inequality
• Concentration-Compactness principle
• Sharp constants