Open AccessMoser-Trudinger and logarithmic HLS inequalities for systems
Author(s) -
Itai Shafrir,
Gershon Wolansky
Publication year - 2005
Publication title -
journal of the european mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.549
H-Index - 64
eISSN - 1435-9863
pISSN - 1435-9855
DOI - 10.4171/jems/34
Subject(s) - mathematics , bounded function , logarithm , inequality , domain (mathematical analysis) , pure mathematics , omega , mathematical analysis , quantum mechanics , physics
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 › ‰R2 and on all ofR2. In some cases we also address the question of existence of minimizers. Mathematics Subject Classification. Primary 35J60
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