On a Dini type blow-up condition for nonlinear higher order differential inequalities
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910283351457792 |
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| author | Kon'kov, A. A. Shishkov, A. E. |
| author_facet | Kon'kov, A. A. Shishkov, A. E. |
| contents | We obtain a Dini type blow-up condition for global weak solutions of the differential inequality $$
\sum_{|α| = m}
\partial^α
a_α(x, u)
\ge
g (|u|)
\quad
\mbox{in } {\mathbb R}^n, $$ where $m, n \ge 1$ are integers and $a_α$ and $g$ are some functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17326 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a Dini type blow-up condition for nonlinear higher order differential inequalities Kon'kov, A. A. Shishkov, A. E. Analysis of PDEs 35B44, 35B08, 35J30, 35J70 We obtain a Dini type blow-up condition for global weak solutions of the differential inequality $$ \sum_{|α| = m} \partial^α a_α(x, u) \ge g (|u|) \quad \mbox{in } {\mathbb R}^n, $$ where $m, n \ge 1$ are integers and $a_α$ and $g$ are some functions. |
| title | On a Dini type blow-up condition for nonlinear higher order differential inequalities |
| topic | Analysis of PDEs 35B44, 35B08, 35J30, 35J70 |
| url | https://arxiv.org/abs/2312.17326 |