TY - JOUR
T1 - On the integral systems related to Hardy-Littlewood-Sobolev inequality
AU - Hang, Fengbo
PY - 2007
Y1 - 2007
N2 - We prove all the maximizers of the sharp Hardy-Littlewood-Sobolev inequality are smooth. More generally, we show all the nonnegative critical functions are smooth, radial with respect to some points and strictly decreasing in the radial direction. In particular, we resolve all the cases left open by previous works of Chen, Li and Ou on the corresponding integral systems.
AB - We prove all the maximizers of the sharp Hardy-Littlewood-Sobolev inequality are smooth. More generally, we show all the nonnegative critical functions are smooth, radial with respect to some points and strictly decreasing in the radial direction. In particular, we resolve all the cases left open by previous works of Chen, Li and Ou on the corresponding integral systems.
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U2 - 10.4310/mrl.2007.v14.n3.a2
DO - 10.4310/mrl.2007.v14.n3.a2
M3 - Article
AN - SCOPUS:34547408245
SN - 1073-2780
VL - 14
SP - 373
EP - 383
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 2-3
ER -