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arXiv · 1811.02981

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

A. A. Kon'kov·A. E. Shishkov
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Abstract

We obtain exact conditions guaranteeing that any global weak solution of the differential inequality $$ \sum_{|α| = m} \partial^α a_α(x, u) \ge g (|u|) \quad \mbox{in } {\mathbb R}^n $$ is trivial, where $m, n \ge 1$ are integers and $a_α$ and $g$ are some functions. These conditions generalize the well-know Keller-Osserman condition.

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A. A. Kon'kov, A. E. Shishkov. 2018-11-07. Generalization of the Keller-Osserman theorem for higher order differential inequalities. https://doi.org/10.1088/1361-6544%2Fab25da

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