Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p-Laplacian in a Ball
Joint Authors
Cao, Linfen
Dai, Zhaohui
Wang, Xiaoshan
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-01
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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 00, if u and v satisfy the following nonlinear system -Δpsux=fvx; -Δptvx=gux, x∈B10; ux,vx=0, x∉B10.
and f,g are nonnegative continuous functions satisfying the following: (i) f(r) and g(r) are increasing for r>0; (ii) f′(r)/rp-2, g′(r)/rp-2 are bounded near r=0.
Then the positive solutions (u,v) must be radially symmetric and monotone decreasing about the origin.
American Psychological Association (APA)
Cao, Linfen& Wang, Xiaoshan& Dai, Zhaohui. 2018. Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p-Laplacian in a Ball. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1119073
Modern Language Association (MLA)
Cao, Linfen…[et al.]. Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p-Laplacian in a Ball. Advances in Mathematical Physics No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1119073
American Medical Association (AMA)
Cao, Linfen& Wang, Xiaoshan& Dai, Zhaohui. Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p-Laplacian in a Ball. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1119073
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119073