On positive solutions of the system of quasilinear elliptic inequalities on non-compact Riemannian manifolds

In this paper some new nonexistence theorems are proved for system of quasilinear elliptic inequalities on noncompact Riemannian manifolds. There are also present conditions of existence entire positive solutions for some systems of quasilinear elliptic inequalities on special type Riemannian manifolds.