2 citations · 2 across the 5 of their papers we have counts for
5 papers
Dimension of polynomial growth harmonic functions on locally conformally flat manifolds with nonnegative Ricci curvature
Xiaohan Cai, Mijia Lai
Let denote the space of harmonic functions with polynomial growth of degree at most on a complete Riemannian manifold . Yau raised two fundamental que…
A necessary condition for the logarithmic Minkowksi problem in higher dimension
Mijia Lai, Zixiao Wang
In this paper, we establish a necessary condition for the logarithmic Minkowski problem in higher dimensions. This result generalizes a necessary condition proposed by Liu, Lu, Sun…
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…
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 an a…
Liouville equations on complete surfaces with nonnegative Gauss curvature
Xiaohan Cai, Mijia Lai
We study finite total curvature solutions of the Liouville equation on a complete surface with nonnegative Gauss curvature. It turns out that the asymptotic b…