Xiaohan Cai

works on

liouville equation 1 nonnegative ricci curvature 1 quasilinear pde 1 riemannian manifolds 1 rigidity 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.DG2026

Dimension of polynomial growth harmonic functions on locally conformally flat manifolds with nonnegative Ricci curvature

Xiaohan Cai, Mijia Lai

Let $H_{d} (M)$ denote the space of harmonic functions with polynomial growth of degree at most $d$ on a complete Riemannian manifold $(M, g)$ . Yau raised two fundamental que…

math.AP2026

Sharp rigidity for quasilinear Liouville equation on manifolds with nonnegative Ricci curvature

Xiaohan Cai

The paper shows that a solution of the quasilinear Liouville equation on a complete noncompact manifold with nonnegative Ricci curvature, satisfying a sharp logarithmic lower bound…