A note on Liouville type theorem of elliptic inequality $\Delta u+u^{\sigma }\le 0$ on Riemannian manifolds

Hui-Chun Zhang

Let $\sigma >1$ and let $M$ be a complete Riemannian manifold. In a recent work [9], Grigor${}^{\prime }$yan and Sun proved that a pointwise upper bound of volume growth is sufficient for u…