Characterization of the lack of compactness of H 2 rad (R 4 ) into the Orlicz space
ben ayed, ines ; Zghal, Mohamed Khalil
HAL, hal-01271967 / Harvested from HAL
Text on HAL
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 L(R 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 L(R 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].
Publié le : 2014-07-04
Classification:  Sobolev critical exonent,  Adams' inequality,  Orlicz space,  lack of compact-ness ,  46E30, 46E35, 35B33,  [MATH]Mathematics [math] 
@article{hal-01271967,
     author = {ben ayed, ines and Zghal, Mohamed Khalil},
     title = {Characterization of the lack of compactness of H 2 rad (R 4 ) into the Orlicz space},
     journal = {HAL},
     volume = {2014},
     number = {0},
     year = {2014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01271967}
}

ben ayed, ines; Zghal, Mohamed Khalil. Characterization of the lack of compactness of H 2 rad (R 4 ) into the Orlicz space. HAL, Tome 2014 (2014) no. 0, . http://gdmltest.u-ga.fr/item/hal-01271967/