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New results concerning Moser-type inequalities in Lorentz-Sobole v spaces

Publication at Faculty of Mathematics and Physics |
2016

Abstract

We obtain sharp constants concerning the Moser-type inequalities corresponding to the Lorentz-Sobolev space with respect to the norm ||t^1/n-t^1/q|nabla u|^**(t)||_q. We also derive the key estimate for the Concentration-Compactness Principle with respect to the above norm.