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math.AP2007★ 1 cited
An integral equation in conformal geometry
Fengbo Hang, Xiaodong Wang, Xiaodong Yan
We study the existence of a metric with zero scalar curvature maximizing the isoperimetric ratio among all zero scalar curvature metrics in a fixed conformal class of metrics on a…
math.AP2007★ 2 cited
On the integral systems related to Hardy-Littlewood-Sobolev inequality
Fengbo Hang
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 resp…