Liouville-type theorems and existence results for stable-at-infinity solutions of higher-order \(m\)-polyharmonic problems (Q2033164)
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scientific article; zbMATH DE number 7358701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Liouville-type theorems and existence results for stable-at-infinity solutions of higher-order \(m\)-polyharmonic problems |
scientific article; zbMATH DE number 7358701 |
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Liouville-type theorems and existence results for stable-at-infinity solutions of higher-order \(m\)-polyharmonic problems (English)
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14 June 2021
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In this paper, the authors study a \(m\)-polyharmonic equation. Under some conditions, the non-existence of nontrivial stable-at-infinity (resp. stable) solutions is proved. Furthermore, under some other conditions, infinitely many finite Morse index solutions are obtained.
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\(m\)-polyharmonic equations
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infinitely many finite Morse index solutions
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0.9031333
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0.89772826
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0.89045703
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0.8898222
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0.8887874
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0.88563687
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0.8847371
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0.8830339
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