We obtain a maximum principle at infinity for solutions of a class of nonlinear singular elliptic differential inequalities on Riemannian manifolds under the sole geometrical assumptions of volume growth conditions. In the case of the Laplace-Beltrami operator we relate our results to stochastic completeness and parabolicity of the manifold.
"Some Remarks on the Weak Maximum Principle." Rev. Mat. Iberoamericana 21 (2) 459 - 481, July, 2005.