Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips

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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Veröffentlicht in:Journal of function spaces 2021, Vol.2021, p.1-5
Hauptverfasser: Sun, Tao, Su, Hua
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Dirichlet problem
Linear equations
Symmetry
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Zusammenfassung: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5354775