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math.AP2026
Sharp rigidity for quasilinear Liouville equation on manifolds with nonnegative Ricci curvature
Xiaohan Cai
We study the quasilinear Liouville equation \[ -Δ_n u=e^u \] on complete noncompact Riemannian manifolds with nonnegative Ricci curvature. Our first result shows that, if a solutio…
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 an a…