Symmetry and nonexistence of positive solutions for fully nonlinear nonlocal systems

DOI10.1016/j.aml.2021.107674OpenAlexW3203176962MaRDI QIDQ2060932

Zhengce Zhang, Linfeng Luo

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107674

zbMATH Keywords

nonexistenceradial symmetrynarrow region principledirect method of moving planesfully nonlinear nonlocal systems

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations ⋮ Symmetry and monotonicity of positive solutions to systems involving general pseudo-relativistic operators ⋮ Monotonicity results for fractional parabolic equations in the whole space ⋮ Monotonicity and symmetry of solutions to fractional \(p\)-Laplacian systems

Cites Work

• Unnamed Item
• Radial symmetry results for fractional Laplacian systems
• A direct method of moving planes for the fractional Laplacian
• Maximum principles for the fractional p-Laplacian and symmetry of solutions
• Radial symmetry of solution for fractional \(p\)- Laplacian system
• Properties of positive solutions to nonlocal problems with negative exponents in unbounded domains
• Liouville theorems involving the fractional Laplacian on a half space
• Regularity theory for fully nonlinear integro-differential equations
• Classification of Solutions for a System of Integral Equations
• An Extension Problem Related to the Fractional Laplacian

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