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

DOI10.1216/RMJ.2020.50.1883zbMath1452.35247OpenAlexW3097856601MaRDI QIDQ2211963

Yajie Zhang, Fei-Yao Ma, Wei-Feng Wo

Publication date: 17 November 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1604545241

zbMATH Keywords

method of moving planesnarrow region principledecay at infinity

Mathematics Subject Classification ID

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)

Related Items (3)

Sliding method for fully nonlinear fractional order equations ⋮ Monotonicity of standing waves for the generalized fractional Schrödinger equations ⋮ Monotonicity and symmetry of solutions to fractional \(p\)-Laplacian systems

Cites Work

• Unnamed Item
• 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
• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
• Maximum principles for the fractional p-Laplacian and symmetry of solutions
• Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations
• Symmetry of positive solutions for Choquard equations with fractional \(p\)-Laplacian
• Symmetry and non-existence of positive solutions for fractional \(p\)-Laplacian systems
• Regularity theory for fully nonlinear integro-differential equations
• Monotonicity results for delta fractional differences revisited

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