26 citations · 85 across the 20 of their papers we have counts for
22 papers
Boundary Value Problems for the -Toda Equation via the Onofri Inequality
Sun-Yung Alice Chang, Hongyi Liu
We formulate and solve a degenerate elliptic boundary value problem for the -Toda equation on . This constructs anti-self-dual Poincaré--…
A Sharp Inequality on the Exponentiation of Functions on the Sphere
Sun-Yung Alice Chang, Changfeng Gui
In this paper we show a new inequality which generalizes to the unit sphere the Lebedev-Milin inequality of the exponentiation of functions on the unit circle. It may also be regar…
Some aspects of Ricci flow on the 4-sphere
Sun-Yung Alice Chang, Eric Chen
In this paper, on 4-spheres equipped with Riemannian metrics we study some integral conformal invariants, the sign and size of which under Ricci flow characterize the standard 4-sp…
Scattering on singular Yamabe spaces
Sun-Yung Alice Chang, Stephen E. McKeown, Paul Yang
We apply scattering theory on asymptotically hyperbolic manifolds to singular Yamabe metrics, applying the results to the study of the conformal geometry of compact manifolds with…
Quasiconformal Flows on non-Conformally Flat Spheres
Sun-Yung Alice Chang, Eden Prywes, Paul Yang
We study integral curvature conditions for a Riemannian metric on that quantify the best bilipschitz constant between and the standard metric on . Our resu…
On compactness conformally compact Einstein manifolds and uniqueness of Graham-Lee metrics, III
Sun-Yung A. Chang, Yuxin Ge, Xiaoshang Jin +1
In this paper, we establish a compactness result for a class of conformally compact Einstein metrics defined on manifolds of dimension . As an application, we derive the gl…