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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Bibliographic Details
Main Authors: Tao Sun, Hua Su
Format: article
Language:EN
Published: Hindawi Limited 2021
Subjects:
Online Access:https://doaj.org/article/bc692367861c42e896e5ba6ea22f5b3e
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