Monotonicity and symmetry of solutions to fractional \(p\)-Laplacian systems

DOI10.1007/S11868-022-00475-6zbMath1498.35576OpenAlexW4296998100MaRDI QIDQ2080896

Zhizhen He, Fei-Yao Ma, Wei-Feng Wo

Publication date: 11 October 2022

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-022-00475-6

zbMATH Keywords

fractional \(p\)-Laplacian systemdecay at infinitysymmetry and monotonicitydirect of moving planes

Mathematics Subject Classification ID

Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (1)

Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum

Cites Work

• A direct method of moving planes for the fractional Laplacian
• Monotonicity and symmetry of solutions to fractional Laplacian equation
• Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
• Symmetry of positive solutions to Choquard type equations involving the fractional \(p\)-Laplacian
• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
• Symmetry results for semilinear elliptic systems in the whole space
• Maximum principles for the fractional p-Laplacian and symmetry of solutions
• Fractional equations with indefinite nonlinearities
• Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations
• Radial symmetry of solution for fractional \(p\)- Laplacian system
• Symmetry and nonexistence of positive solutions for fully nonlinear nonlocal systems
• Monotonicity and symmetry of solutions to fractional \(p\)-Laplacian equations
• Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian
• A direct method of moving planes for a fully nonlinear nonlocal system
• Liouville theorems involving the fractional Laplacian on a half space
• Symmetry of positive solutions for Choquard equations with fractional \(p\)-Laplacian
• Symmetry and non-existence of positive solutions for fractional \(p\)-Laplacian systems
• Symmetry of solutions for a class of nonlocal Monge–Ampère equations
• An Extension Problem Related to the Fractional Laplacian
• Classification of solutions for an integral equation

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