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

A. A. Kon'kov, A. E. Shishkov

We obtain exact conditions guaranteeing that any global weak solution of the differential inequality $$ \sum_{|α| = m} \partial^α a_α(x, u) \ge g (|u|) \quad \mbox{in } {\mathbb R}…