Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips
In this paper, using the method of moving planes, we study the monotonicity in some directions and symmetry of the Dirichlet problem involving the fractional Laplacian −Δα/2ux=fux,x∈Ω,ux>0,x∈Ω,ux=0,x∈ℝn\Ω, in a slab-like domain Ω=ℝn−1×0,h⊂ℝn.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5354775 |
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| _version_ | 1849684928287997952 |
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| author | Tao Sun Hua Su |
| author_facet | Tao Sun Hua Su |
| author_sort | Tao Sun |
| collection | DOAJ |
| description | In this paper, using the method of moving planes, we study the monotonicity in some directions and symmetry of the Dirichlet problem involving the fractional Laplacian −Δα/2ux=fux,x∈Ω,ux>0,x∈Ω,ux=0,x∈ℝn\Ω, in a slab-like domain Ω=ℝn−1×0,h⊂ℝn. |
| format | Article |
| id | doaj-art-bc692367861c42e896e5ba6ea22f5b3e |
| institution | DOAJ |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bc692367861c42e896e5ba6ea22f5b3e2025-08-20T03:23:19ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5354775Monotonicity and Symmetry of Solutions to Fractional Laplacian in StripsTao Sun0Hua Su1School of StatisticsSchool of Mathematics and Quantitative EconomicsIn this paper, using the method of moving planes, we study the monotonicity in some directions and symmetry of the Dirichlet problem involving the fractional Laplacian −Δα/2ux=fux,x∈Ω,ux>0,x∈Ω,ux=0,x∈ℝn\Ω, in a slab-like domain Ω=ℝn−1×0,h⊂ℝn.http://dx.doi.org/10.1155/2021/5354775 |
| spellingShingle | Tao Sun Hua Su Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips Journal of Function Spaces |
| title | Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips |
| title_full | Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips |
| title_fullStr | Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips |
| title_full_unstemmed | Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips |
| title_short | Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips |
| title_sort | monotonicity and symmetry of solutions to fractional laplacian in strips |
| url | http://dx.doi.org/10.1155/2021/5354775 |
| work_keys_str_mv | AT taosun monotonicityandsymmetryofsolutionstofractionallaplacianinstrips AT huasu monotonicityandsymmetryofsolutionstofractionallaplacianinstrips |