Radial symmetry of solution for fractional \(p\)- Laplacian system

DOI10.1016/j.na.2020.111801zbMath1437.35015OpenAlexW3007280893MaRDI QIDQ1988417

Bashir Ahmad, Xueyan Ren, Guotao Wang, Lihong Zhang

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111801

zbMATH Keywords

boundary estimateradial symmetry and monotonicityfractional \(p\)-Laplacian systemdecay at infinitymaximum principle for anti-symmetric function

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) 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)

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Cites Work

• Unnamed Item
• Radial symmetry results for fractional Laplacian systems
• Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
• A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
• Asymptotic radial symmetry and growth estimates of positive solutions to weighted Hardy-Littlewood-Sobolev system of integral equations
• A fractional Yamabe flow and some applications
• 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
• Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Moving planes for nonlinear fractional Laplacian equation with negative powers
• Maximum principles for the fractional p-Laplacian and symmetry of solutions
• Radial symmetry of standing waves for nonlinear fractional Hardy-Schrödinger equation
• On the moving plane method for singular solutions to semilinear elliptic equations
• Liouville theorems involving the fractional Laplacian on a half space
• The moving plane method for singular semilinear elliptic problems
• Symmetry and non-existence of positive solutions for fractional \(p\)-Laplacian systems
• A Liouville type theorem for an integral system
• On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
• Indefinite fractional elliptic problem and Liouville theorems
• Uniqueness of Radial Solutions for the Fractional Laplacian
• A concave—convex elliptic problem involving the fractional Laplacian
• Symmetry of solutions to some systems of integral equations
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Regularity theory for fully nonlinear integro-differential equations
• Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
• The Fractional Laplacian
• An Extension Problem Related to the Fractional Laplacian
• Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
• Symmetry via antisymmetric maximum principles in nonlocal problems of variable order