Classification of anti-symmetric solutions to the fractional Lane-Emden system
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Publication:6100637
DOI10.1007/s11425-021-1952-1zbMath1514.35464OpenAlexW4283824358MaRDI QIDQ6100637
Publication date: 12 May 2023
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-021-1952-1
Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
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- Liouville theorems for integral systems related to fractional Lane-Emden systems in \(\mathbb{R}_+^N\).
- A direct method of moving planes for the fractional Laplacian
- Principal curves to nonlocal Lane-Emden systems and related maximum principles
- An integral system and the Lane-Emden conjecture
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- The proof of the Lane-Emden conjecture in four space dimensions
- Classification of solutions of some nonlinear elliptic equations
- A Liouville theorem for the subcritical Lane-Emden system
- Non-existence of positive solutions of Lane-Emden systems
- Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space
- Classification of anti-symmetric solutions to nonlinear fractional Laplace equations
- On positive viscosity solutions of fractional Lane-Emden systems
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Fractional dynamics of systems with long-range interaction
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Euler Equations, Navier-Stokes Equations and Turbulence
- Lévy Processes and Stochastic Calculus
- A rellich type identity and applications
- The maximum principles for fractional Laplacian equations and their applications
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