On blow-up conditions for solutions of higher order differential inequalities

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

For differential inequalities of the form $$ \sum_{|α| = m} (- 1)^m \partial^α a_α(x, u) \ge b (x) |u|^λ \quad \mbox{in } {\mathbb R}^n, \: n \ge 1, $$ where $a_{\alpha }$ and $b$ are some…