Some remarks on the weak maximum principle.
Marco Rigoli, Maura Salvatori, Marco Vignati (2005)
Revista Matemática Iberoamericana
Similarity:
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.