2 papers
math.AP2023
Constrained Moser-Trudinger-Onofri inequality and a uniqueness criterion for the mean field equation
Xuezhang Chen, Shihong Zhang
We establish Moser-Trudinger-Onofri inequalities under constraint of a deviation of the second order moments from , which serves as an intermediate one between Chang-Hang's ineq…
math.DG2023
On some rigidity theorems of Q-curvature
Yiyan Xu, Shihong Zhang
In this paper, we investigate the rigidity of Q-curvature. Specifically, we consider a closed, oriented -dimensional () Riemannian manifold and prove the followi…