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.
| Published in: | Journal of Function Spaces |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Online Access: | http://dx.doi.org/10.1155/2021/5354775 |