Radial symmetry and monotonicity of solutions to a system involving fractional \(p\)-Laplacian in a ball

DOI10.1155/2018/1565731zbMath1408.35210OpenAlexW2885356271WikidataQ129478685 ScholiaQ129478685MaRDI QIDQ1629148

Xiaoshan Wang, Zhaohui Dai, Linfen Cao

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1565731

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (13)

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 ⋮ Monotonicity and uniqueness of positive solutions to elliptic fractional \(p\)-equations ⋮ A direct method of moving planes for the fractional \(p\)-Laplacian system with negative powers ⋮ Monotonicity of solutions for weighted fractional parabolic equations on the upper half space ⋮ Symmetry of positive solutions to quasilinear fractional systems ⋮ Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian ⋮ Symmetric properties of positive solutions for fully nonlinear nonlocal system ⋮ Symmetric properties for Choquard equations involving fully nonlinear nonlocal operators ⋮ Nonexistence of positive solutions for an indefinite fractional \(p\)-Laplacian equation ⋮ Monotonicity of solutions for fractional \(p\)-equations with a gradient term ⋮ Monotonicity results for quasilinear fractional systems in epigraphs ⋮ Symmetry and monotonicity of positive solutions for a system involving fractional p\&q-Laplacian in \(\mathbb{R}^n\)

Cites Work

• Liouville type theorems for the system of fractional nonlinear equations in \(\mathbb R^n_+\)
• Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian
• A direct method of moving planes for the fractional Laplacian
• Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
• A Liouville-type theorem for an integral equation on a half-space \(\mathbb R_+^n\)
• A direct method of moving planes for a fully nonlinear nonlocal system
• A concave—convex elliptic problem involving the fractional Laplacian
• Regularity theory for fully nonlinear integro-differential equations
• An Extension Problem Related to the Fractional Laplacian
• Symmetry via antisymmetric maximum principles in nonlocal problems of variable order

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