A Liouville type theorem for polyharmonic elliptic systems (Q860982)
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scientific article; zbMATH DE number 5083595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Liouville type theorem for polyharmonic elliptic systems |
scientific article; zbMATH DE number 5083595 |
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A Liouville type theorem for polyharmonic elliptic systems (English)
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9 January 2007
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The author deals with the following polyharmonic system \[ (-\Delta_x)^m u= v^q\quad\text{in }\mathbb{R}^N,\qquad (-\Delta_x)^m v= u^p\quad\text{in }\mathbb{R}^N.\tag{1} \] The author is mainly interested in the range of exponents \(p\), \(q> 0\) in (1), for which there are no positive classical solution.
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Liouville theorem
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polyharmonic systems
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moving planes method
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