The purpose of this paper is to prove some nonexistence results for nonnegative weak solutions of differential inequalities
Lu >= u(q), or -Lu >= u(q) or -Lu >= 0, on R(N).
Here L is a quasilinear operator belonging to a wide class of operators, including the anisotropic pseudo-m-Laplacian operator, the m-Laplacian operator, the mean Curvature operator acting in Euclidean setting, as well as their counterparts in Carnot groups setting.
