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arXiv · 1711.08902

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

A. A. Kon'kov·A. E. Shishkov
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Abstract

For differential inequalities of the form $$ \sum_{|\alpha| = m} (- 1)^m \partial^\alpha a_\alpha (x, u) \ge b (x) |u|^\lambda \quad \mbox{in } {\mathbb R}^n, \: n \ge 1, $$ where $a_\alpha$ and $b$ are some functions, we obtain conditions guaranteeing that any solution is identically equal to zero. We construct examples which show that the obtained conditions are sharp.

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A. A. Kon'kov, A. E. Shishkov. 2017-11-24. On blow-up conditions for solutions of higher order differential inequalities. https://arxiv.org/abs/1711.08902

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