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- W4311398907 abstract "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. Applying the method of moving planes in integral forms, we prove the non-existence of positive solutions under very weak conditions. We also extend the results to a more general equation." @default.
- W4311398907 created "2022-12-26" @default.
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- W4311398907 date "2022-12-13" @default.
- W4311398907 modified "2023-10-16" @default.
- W4311398907 title "Liouville Type Theorems Involving the Fractional Laplacian on the Upper Half Euclidean Space" @default.
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- W4311398907 doi "https://doi.org/10.3390/fractalfract6120738" @default.
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