Characterization of the lack of compactness of $H^2_{\rm rad}({\mathbb R}^4)$ into the Orlicz space
Autor: | Mohamed Khalil Zghal, Ines Ben Ayed |
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Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Communications in Contemporary Mathematics. 16:1350037 |
ISSN: | 1793-6683 0219-1997 |
Popis: | This paper is devoted to the description of the lack of compactness of the Sobolev space [Formula: see text] in the Orlicz space [Formula: see text]. The approach that we adopt to establish this characterization is in the spirit of the one adopted in the case of [Formula: see text] into the Orlicz space [Formula: see text] 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]. |
Databáze: | OpenAIRE |
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