Geodesic
Moser-Trudinger and logarithmic HLS inequalities for systems
Journal of the European Mathematical Society, Tome 7 (2005) no. 4, pp. 413-448.

Voir la notice de l'article provenant de la source EMS Press

We prove several optimal Moser-Trudinger and logarithmic Hardy-Littlewood-Sobolev inequalities for systems in two dimensions. These include inequalities on the sphere S2, on a bounded domain Ω⊂R2 and on all of R2. In some cases we also address the question of existence of minimizers.
DOI : 10.4171/jems/34
Classification : 35-XX, 00-XX
Keywords: 
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     author = {Itai Shafrir and Gershon Wolansky},
     title = {Moser-Trudinger and logarithmic {HLS} inequalities for systems},
     journal = {Journal of the European Mathematical Society},
     pages = {413--448},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2005},
     doi = {10.4171/jems/34},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/34/}
}
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Itai Shafrir; Gershon Wolansky. Moser-Trudinger and logarithmic HLS inequalities for systems. Journal of the European Mathematical Society, Tome 7 (2005) no. 4, pp. 413-448. doi : 10.4171/jems/34. http://geodesic.mathdoc.fr/articles/10.4171/jems/34/

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