Radial symmetry and monotonicity for fractional Hénon equation inRn

DOI10.1080/17476933.2015.1041937zbMath1327.35419OpenAlexW2192231860MaRDI QIDQ3455411

Zhaohui Dai, Linfen Cao, Pengyan Wang

Publication date: 4 December 2015

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

Full work available at URL: https://doi.org/10.1080/17476933.2015.1041937

zbMATH Keywords

monotonicityGreen's functionKelvin transformradial symmetryfractional Laplacianmethod of moving planes in integral formsHénon equation

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (7)

Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball ⋮ Symmetric properties for system involving uniformly elliptic nonlocal operators ⋮ Unnamed Item ⋮ SYMMETRY AND MONOTONICITY OF SOLUTIONS TO FRACTIONAL ELLIPTIC AND PARABOLIC EQUATIONS ⋮ Monotonicity of solutions for fractional \(p\)-equations with a gradient term ⋮ Existence and uniqueness of radial solutions for Hardy-Hénon equations involving \(k\)-Hessian operators ⋮ Symmetry and monotonicity of positive solutions for a system involving fractional p\&q-Laplacian in \(\mathbb{R}^n\)

Cites Work

• Liouville type theorems for poly-harmonic Navier problems
• Liouville-type theorems and bounds of solutions of Hardy-Hénon equations
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity
• Classification of solutions of higher order conformally invariant equations
• Some Liouville theorems for the fractional Laplacian
• Liouville theorems involving the fractional Laplacian on a half space
• Fractional dynamics of systems with long-range interaction
• Non radial positive solution for the Hénon equation with critical growth
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Euler Equations, Navier-Stokes Equations and Turbulence
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Classification of solutions for an integral equation

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