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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Autores principales:	Tao Sun, Hua Su
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/bc692367861c42e896e5ba6ea22f5b3e
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spelling	oai:doaj.org-article:bc692367861c42e896e5ba6ea22f5b3e2021-11-22T01:09:40ZMonotonicity and Symmetry of Solutions to Fractional Laplacian in Strips2314-888810.1155/2021/5354775https://doaj.org/article/bc692367861c42e896e5ba6ea22f5b3e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5354775https://doaj.org/toc/2314-8888In 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.Tao SunHua SuHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Tao Sun Hua Su Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips
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
author	Tao Sun Hua Su
author_facet	Tao Sun Hua Su
author_sort	Tao Sun
title	Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips
title_short	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_sort	monotonicity and symmetry of solutions to fractional laplacian in strips
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/bc692367861c42e896e5ba6ea22f5b3e
work_keys_str_mv	AT taosun monotonicityandsymmetryofsolutionstofractionallaplacianinstrips AT huasu monotonicityandsymmetryofsolutionstofractionallaplacianinstrips
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Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips

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