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…