Liouville Type Theorems Involving the Fractional Laplacian on the Upper Half Euclidean Space
In this paper, we mainly establish Liouville-type theorems for the elliptic semi-linear equations involving the fractional Laplacian on the upper half of Euclidean space. We employ a direct approach by studying an equivalent integral equation instead of using the conventional extension method. Apply...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/12/738 |