Liouville theorems for an integral system with Poisson kernel on the upper half space (Q310219)
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scientific article; zbMATH DE number 6625203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Liouville theorems for an integral system with Poisson kernel on the upper half space |
scientific article; zbMATH DE number 6625203 |
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Liouville theorems for an integral system with Poisson kernel on the upper half space (English)
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8 September 2016
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The authors consider an integral system with a Poisson kernel in the upper half-space. After discussing the regularity of positive solutions, they use the method of moving spheres to prove a Liouville-type theorem. The paper complements an earlier one by the first author and \textit{Y. Li} [Discrete Contin. Dyn. Syst. 35, No. 1, 155--171 (2015; Zbl 1304.35160)].
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Poisson kernel
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integral system
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method of moving spheres
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Liouville theorem
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positive solutions
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