Liouville type theorems for the system of fractional nonlinear equations in \(\mathbb R^n_+\)
type: Item
instance of: scholarly article
title: Liouville type theorems for the system of fractional nonlinear equations in \(\mathbb R^n_+\)
zbMATH Open document ID: 1382.35327
author: Zhaohui Dai
author: Linfen Cao
author: Pengyan Wang
published in: Journal of Inequalities and Applications
publication date: 2016-11-07T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A08
Mathematics Subject Classification ID: 35B53
zbMATH DE Number: 6648440
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Green's function
zbMATH Keywords: method of moving planes in integral forms
zbMATH Keywords: Liouville theorem
zbMATH Keywords: Kelvin transform
Wikidata QID: Q59468637
MaRDI profile type: Publication
full work available at URL: s13660-016-1207-9
OpenAlex ID: W2535009774
cites work: Liouville type theorems for poly-harmonic Navier problems
cites work: Non radial positive solution for the Hénon equation with critical growth
cites work: Qualitative properties of solutions for an integral equation
cites work: Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
cites work: Liouville theorems involving the fractional Laplacian on a half space
cites work: Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: A Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\)
cites work: Q4380614
DOI: 10.1186/S13660-016-1207-9
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description: scientific article; zbMATH DE number 6648440