51 citations · 101 across the 23 of their papers we have counts for
24 papers
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…
Improved Sobolev inequality under constraints
Fengbo Hang, Xiaodong Wang
We give a new proof of Aubin's improvement of the Sobolev inequality on under the vanishing of first order moments of the area element and generalize it to higher…
A remark on the concentration compactness principle in critical dimension
Fengbo Hang
We prove some refinements of concentration compactness principle for Sobolev space on a smooth compact Riemannian manifold of dimension . As an application, we extend…
Liouville type theorems on manifolds with nonnegative curvature and strictly convex boundary
Qianqiao Guo, Fengbo Hang, Xiaodong Wang
We prove some Liouville type theorems on smooth compact Riemannian manifolds with nonnegative sectional curvature and strictly convex boundary. This gives a nonlinear generalizatio…
Improved Moser-Trudinger-Onofri inequality under constraints
Sun-Yung A. Chang, Fengbo Hang
A classical result of Aubin states that the constant in Moser-Trudinger-Onofri inequality on can be imporved for furnctions with zero first order moments of the ar…