2 papers
math.DG2026
Green function rigidity for two dimensional sphere
Mijia Lai, Chilin Zhang
We verify a conjecture proposed by X. Chen and Y. Shi, which arises from their study of the Green function on spheres in Euclidean space. More precisely, let $M\subset \mathbb{R}^3…
math.AP2024
An area growth estimate of the Liouville equation
Xiaohan Cai, Mijia Lai, Chilin Zhang
We establish an area growth estimate for solutions that are bounded from above of the Liouville equation with a positive pinched curvature . As a…