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
Rok vydání:	2014
Předmět:	Sobolev space Pure mathematics Compact space Applied Mathematics General Mathematics Mathematical analysis Embedding Characterization (mathematics) Space (mathematics) Mathematics
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::06d1e85ad505b50f3fe76a91ba00128a https://doi.org/10.1142/s0219199713500375 Zobrazit plný text záznamu