Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p-Laplacian in a Ball
In this paper, we study a nonlinear system involving the fractional p-Laplacian in a unit ball and establish the radial symmetry and monotonicity of its positive solutions. By using the direct method of moving planes, we prove the following result. For 0<s,t<1,p>0, if u and v satisfy the fo...
| Published in: | Advances in Mathematical Physics |
|---|---|
| Main Authors: | Linfen Cao, Xiaoshan Wang, Zhaohui Dai |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Online Access: | http://dx.doi.org/10.1155/2018/1565731 |
Similar Items
Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips
by: Tao Sun, et al.
Published: (2021-01-01)
by: Tao Sun, et al.
Published: (2021-01-01)
Hopf’s lemma for parabolic equations involving a generalized tempered fractional p-Laplacian
by: Fan Linlin, et al.
Published: (2025-03-01)
by: Fan Linlin, et al.
Published: (2025-03-01)
Radial solutions of equations and inequalities involving the p-Laplacian
by: Wolfgang Walter, et al.
Published: (1997-01-01)
by: Wolfgang Walter, et al.
Published: (1997-01-01)
Symmetry of Ancient Solution for Fractional Parabolic Equation Involving Logarithmic Laplacian
by: Wei Zhang, et al.
Published: (2023-12-01)
by: Wei Zhang, et al.
Published: (2023-12-01)
Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative
by: Bo Bi, et al.
Published: (2021-02-01)
by: Bo Bi, et al.
Published: (2021-02-01)
Symmetry and Nonexistence of Positive Solutions for Weighted HLS System of Integral Equations on a Half Space
by: Linfen Cao, et al.
Published: (2014-01-01)
by: Linfen Cao, et al.
Published: (2014-01-01)
Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball
by: John R. Graef, et al.
Published: (2022-12-01)
by: John R. Graef, et al.
Published: (2022-12-01)
Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations
by: Filippo Gazzola, et al.
Published: (2022-10-01)
by: Filippo Gazzola, et al.
Published: (2022-10-01)
Radial symmetry, monotonicity and Liouville theorem for Marchaud fractional parabolic equations with the nonlocal Bellman operator
by: Liu Mengru, et al.
Published: (2025-06-01)
by: Liu Mengru, et al.
Published: (2025-06-01)
The Monotonicity of the Principal Frequency of the Anisotropic $p$-Laplacian
by: Bocea, Marian, et al.
Published: (2022-09-01)
by: Bocea, Marian, et al.
Published: (2022-09-01)
Existence of positive radial solutions for a problem involving the weighted Heisenberg p(⋅)-Laplacian operator
by: Maria Alessandra Ragusa, et al.
Published: (2023-01-01)
by: Maria Alessandra Ragusa, et al.
Published: (2023-01-01)
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
by: Serena Dipierro, et al.
Published: (2013-05-01)
by: Serena Dipierro, et al.
Published: (2013-05-01)
Radially Symmetric Solution for Fractional Laplacian Systems with Different Negative Powers
by: Haiyong Xu, et al.
Published: (2022-06-01)
by: Haiyong Xu, et al.
Published: (2022-06-01)
A bifurcation and symmetry result for critical fractional Laplacian equations involving a perturbation
by: Jiabin Zuo, et al.
Published: (2020-02-01)
by: Jiabin Zuo, et al.
Published: (2020-02-01)
Asymptotic behavior of positive solutions for the radial p-Laplacian equation
by: Sonia Ben Othman, et al.
Published: (2012-12-01)
by: Sonia Ben Othman, et al.
Published: (2012-12-01)
Monotone iterative method for fractional p-Laplacian differential equations with four-point boundary conditions
by: Xiaoping Li, et al.
Published: (2020-12-01)
by: Xiaoping Li, et al.
Published: (2020-12-01)
Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian
by: Meng Qu, et al.
Published: (2018-10-01)
by: Meng Qu, et al.
Published: (2018-10-01)
Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional $p$-Laplacian
by: Mingqi Xiang, et al.
Published: (2016-11-01)
by: Mingqi Xiang, et al.
Published: (2016-11-01)
Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian
by: Guowei Dai, et al.
Published: (2012-01-01)
by: Guowei Dai, et al.
Published: (2012-01-01)
On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian via Young Measures
by: Talibi Ihya, et al.
Published: (2024-11-01)
by: Talibi Ihya, et al.
Published: (2024-11-01)
Existence of positive solutions for p-Laplacian systems involving left and right fractional derivatives
by: Samira Ramdane, et al.
Published: (2021-07-01)
by: Samira Ramdane, et al.
Published: (2021-07-01)
On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity
by: Rafik Guefaifia, et al.
Published: (2020-07-01)
by: Rafik Guefaifia, et al.
Published: (2020-07-01)
Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian
by: Yanbing Yang, et al.
Published: (2018-08-01)
by: Yanbing Yang, et al.
Published: (2018-08-01)
Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian
by: Lijing Xi, et al.
Published: (2019-11-01)
by: Lijing Xi, et al.
Published: (2019-11-01)
Multiple solutions for discontinuous elliptic problems involving the fractional Laplacian
by: Jung-Hyun Bae, et al.
Published: (2019-01-01)
by: Jung-Hyun Bae, et al.
Published: (2019-01-01)
Existence and multiplicity of solutions for a Schrödinger type equations involving the fractional p(x)-Laplacian
by: Shuhai Zhu
Published: (2023-05-01)
by: Shuhai Zhu
Published: (2023-05-01)
Existence and multiplicity of solutions for fractional p-Laplacian equation involving critical concave-convex nonlinearities
by: Ye Dong, et al.
Published: (2024-06-01)
by: Ye Dong, et al.
Published: (2024-06-01)
Existence of solutions for nonlinear problems involving mixed fractional derivatives with p(x)-Laplacian operator
by: Sun Bingzhi
Published: (2024-08-01)
by: Sun Bingzhi
Published: (2024-08-01)
Non-existence of positive radial solution for semipositone weighted p-Laplacian problems
by: Sigifredo Herron, et al.
Published: (2015-05-01)
by: Sigifredo Herron, et al.
Published: (2015-05-01)
Monotonicity of solutions for fractional p-equations with a gradient term
by: Wang Pengyan
Published: (2022-06-01)
by: Wang Pengyan
Published: (2022-06-01)
Nontrivial solutions for Neumann fractional p-Laplacian problems
by: Chun Li, et al.
Published: (2025-09-01)
by: Chun Li, et al.
Published: (2025-09-01)
Positive Solutions of Fractional Differential Equations with p-Laplacian
by: Yuansheng Tian, et al.
Published: (2017-01-01)
by: Yuansheng Tian, et al.
Published: (2017-01-01)
Hyperbolic monotonicity in the Hilbert ball
by: Reich Simeon, et al.
Published: (2006-01-01)
by: Reich Simeon, et al.
Published: (2006-01-01)
Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity
by: Bidi Younes, et al.
Published: (2024-09-01)
by: Bidi Younes, et al.
Published: (2024-09-01)
Existence and multiplicity of solutions for a differential inclusion problem involving the p(x)-Laplacian
by: Guowei Dai
Published: (2010-03-01)
by: Guowei Dai
Published: (2010-03-01)
Multiple solutions for a problem with resonance involving the
p-Laplacian
by: C. O. Alves, et al.
Published: (1998-01-01)
by: C. O. Alves, et al.
Published: (1998-01-01)
Super-Laplacians and their symmetries
by: P. S. Howe, et al.
Published: (2017-05-01)
by: P. S. Howe, et al.
Published: (2017-05-01)
A nonexistence result for p-Laplacian systems in a ball
by: Abraham" Abebe, et al.
Published: (2023-03-01)
by: Abraham" Abebe, et al.
Published: (2023-03-01)
Extremal solutions for p-Laplacian fractional differential systems involving the Riemann-Liouville integral boundary conditions
by: Ying He
Published: (2018-01-01)
by: Ying He
Published: (2018-01-01)
Infinitely many solutions for Schrodinger-Kirchhoff type equations involving the fractional p-Laplacian and critical exponent
by: Li Wang, et al.
Published: (2016-12-01)
by: Li Wang, et al.
Published: (2016-12-01)
Similar Items
-
Monotonicity and Symmetry of Solutions to Fractional Laplacian in Strips
by: Tao Sun, et al.
Published: (2021-01-01) -
Hopf’s lemma for parabolic equations involving a generalized tempered fractional p-Laplacian
by: Fan Linlin, et al.
Published: (2025-03-01) -
Radial solutions of equations and inequalities involving the p-Laplacian
by: Wolfgang Walter, et al.
Published: (1997-01-01) -
Symmetry of Ancient Solution for Fractional Parabolic Equation Involving Logarithmic Laplacian
by: Wei Zhang, et al.
Published: (2023-12-01) -
Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative
by: Bo Bi, et al.
Published: (2021-02-01)
