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arXiv · 2312.17326

On a Dini type blow-up condition for nonlinear higher order differential inequalities

A. A. Kon'kov·A. E. Shishkov
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Abstract

We obtain a Dini type blow-up condition for global weak solutions of the differential inequality $$ \sum_{|\alpha| = m} \partial^\alpha a_\alpha (x, u) \ge g (|u|) \quad \mbox{in } {\mathbb R}^n, $$ where $m, n \ge 1$ are integers and $a_\alpha$ and $g$ are some functions.

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A. A. Kon'kov, A. E. Shishkov. 2023-12-28. On a Dini type blow-up condition for nonlinear higher order differential inequalities. https://arxiv.org/abs/2312.17326

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