ON WEAK CONTINUITY OF THE MOSER FUNCTIONAL IN LORENTZ-SOBOLEV SPACES

Abstract

We give characterization of the failure of the sequential weak continuity of the Moser functional on radially symmetric functions in the Lorentz-Sobolev spaces with critical exponents.

Keywords

• Sobolev spaces
• Lorentz-Sobolev spaces
• MoserTrudinger inequality
• concentration-compactness principle
• sharp constants