On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms

In this paper we give sufficient conditions for the nonexistence of nonnegative nontrivial entire weak solutions of p-Laplacian elliptic inequalities, with possibly singular weights and gradient terms, of the form , under the main request that h and are continuous on R+. We achieve our conclusions introducing a generalized version of the well-known Keller–Osserman condition.