Characterization of the lack of compactness of H 2 rad R 4 into the Orlicz spaceReportar como inadecuado




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1 LAMA - Laboratoire d-Analyse et de Mathématiques Appliquées

Abstract : This paper is devoted to the description of the lack of compactness of the Sobolev space H 2 rad R 4 in the Orlicz space LR 4. The approach that we adopt to establish this characterization is in the spirit of the one adopted in the case of H 1 rad R 2 into the Orlicz space LR 2 in H. Bahouri, M. Majdoub and N. Masmoudi, On the lack of compactness in the 2D critical Sobolev embedding, J. Funct. Anal. 260 2011 208–252.

Keywords : Sobolev critical exonent Adams- inequality Orlicz space lack of compact-ness





Autor: Ines Ben Ayed - Mohamed Khalil Zghal -

Fuente: https://hal.archives-ouvertes.fr/



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