Xiaohan Cai

works on

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

From the 1 of 3 linked papers with an AI index.

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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…

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 $I^ u + K e^{2 u} = 0$ with a positive pinched curvature $0 < I^» \leq K \leq I^$ . As a…