51 citations · 101 across the 23 of their papers we have counts for
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A Simpler Proof of Frank and Lieb's Sharp Inequality on the Heisenberg Group
Fengbo Hang, Xiaodong Wang
We give a simpler proof of the sharp Frank-Lieb inequality on the Heisenberg group. The proof bypasses the sophisticated argument for existence of a minimizer and is based on the s…
Aubin type almost sharp Moser-Trudinger inequality revisited
Fengbo Hang
We give a new proof of the almost sharp Moser-Trudinger inequality on compact Riemannian manifolds based on the sharp Moser inequality on Euclidean spaces. In particular we can low…
Remarks on a mean field equation on
Changfeng Gui, Fengbo Hang, Amir Moradifam +1
In this note, we study symmetry of solutions of the elliptic equation \begin{equation*} -Δ_{\mathbb{S}^{2}}u+3=e^{2u}\ \ \hbox{on}\ \ \mathbb{S}^{2}, \end{equation*} that arises in…
A perturbation approach for Paneitz energy on standard three sphere
Fengbo Hang, Paul C. Yang
We present another proof of the sharp inequality for Paneitz operator on the standard three sphere, in the spirit of subcritical approximation for the classical Yamabe problem. To…
The Sphere Covering Inequality and Its Applications
Changfeng Gui, Amir Moradifam
In this paper, we show that the total area of two distinct surfaces with Gaussian curvature equal to 1, which are also conformal to the Euclidean unit disk with the same conformal…
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…