Nonexistence results for a fractional Hénon–Lane–Emden equation on a half-space

DOI10.1142/S0129167X15501104zbMath1334.35399OpenAlexW2245466752MaRDI QIDQ2788778

Jingbo Dou, Sufang Tang

Publication date: 22 February 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x15501104

zbMATH Keywords

Green's functionLiouville theoremmethod of moving planesupper half-spacefractional Hénon-Lane-Emden equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (3)

Liouville theorem for fractional Hénon–Lane–Emden systems on a half space ⋮ Symmetry and nonexistence results for a fractional Hénon-Hardy system on a half-space ⋮ A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions

Cites Work

• Unnamed Item
• A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
• Hitchhiker's guide to the fractional Sobolev spaces
• An integral system and the Lane-Emden conjecture
• Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition
• Uniqueness theorems through the method of moving spheres
• Liouville theorems for fractional Hénon equation and system on \(\mathbb{R}^n\)
• The boundary Harnack principle for the fractional Laplacian
• Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space

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