Liouville-type theorems for a system of fractional Laplacian equations

DOI10.1080/17476933.2021.1945586zbMath1501.35101OpenAlexW3187897572WikidataQ113848362 ScholiaQ113848362MaRDI QIDQ5046512

Rong Yin, Xudong Shang, Ji Hui Zhang

Publication date: 31 October 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1945586

zbMATH Keywords

fractional Laplacianmethod of moving planes in integral forms

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
• Symmetry of integral equation systems on bounded domains
• An overdetermined problem in Riesz-potential and fractional Laplacian
• A characteristic property of spheres
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Liouville theorems involving the fractional Laplacian on a half space
• Fractional dynamics of systems with long-range interaction
• A symmetry problem in potential theory
• Euler Equations, Navier-Stokes Equations and Turbulence
• Classification of Solutions for a System of Integral Equations

This page was built for publication: Liouville-type theorems for a system of fractional Laplacian equations