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The Nehari Manifold for a Fractional p-Kirchhoff System Involving Sign-Changing Weight Function and Concave-Convex Nonlinearities
Joint Authors
An, Tianqing
Ren, Xiangsheng
Zuo, Jiabin
Yang, Libo
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we are concerned with the following fractional p-Kirchhoff system with sign-changing nonlinearities: M(∫R2nux-uyp/x-yn+psdxdy)-Δpsu=λa(x)uq-2u+α/(α+β)f(x)uα-2uvβ, in Ω, M(∫R2n|v(x)-v(y)|p/|x-y|n+psdxdy)-Δpsv=μb(x)vq-2v+(β/α+β)f(x)uαvβ-2v, in Ω, and u=v=0, in Rn∖Ω, where Ω is a smooth bounded domain in Rn, n>ps, s∈(0,1), λ, μ are two real parameters, 10, l>0, h≥1,a(x),b(x)∈L(α+β)/(α+β-q)(Ω) are sign changing and either a±=max{±a,0}≢0 or b±=max{±b,0}≢0, f∈L(Ω¯) with f∞=1, and f≥0.
Using Nehari manifold method, we prove that the system has at least two solutions with respect to the pair of parameters (λ,μ).
American Psychological Association (APA)
Zuo, Jiabin& An, Tianqing& Yang, Libo& Ren, Xiangsheng. 2019. The Nehari Manifold for a Fractional p-Kirchhoff System Involving Sign-Changing Weight Function and Concave-Convex Nonlinearities. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174899
Modern Language Association (MLA)
Zuo, Jiabin…[et al.]. The Nehari Manifold for a Fractional p-Kirchhoff System Involving Sign-Changing Weight Function and Concave-Convex Nonlinearities. Journal of Function Spaces No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1174899
American Medical Association (AMA)
Zuo, Jiabin& An, Tianqing& Yang, Libo& Ren, Xiangsheng. The Nehari Manifold for a Fractional p-Kirchhoff System Involving Sign-Changing Weight Function and Concave-Convex Nonlinearities. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174899
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174899