Generalization of the Keller-Osserman theorem for higher order differential inequalities

We obtain exact conditions guaranteeing that any global weak solution of the differential inequality Σ/|α|=α aα (x,u) ≥ g (|u|) in ℝn is trivial, where m, n ≥ 1 are integers and aα and g are some functions. These conditions generalize the well-known Keller-Osserman condition. © 2019 IOP Publishing Ltd & London Mathematical Society.