The Nehari Manifold for a Fractional p-Kirchhoff System Involving Sign-Changing Weight Function and Concave-Convex Nonlinearities

المؤلفون المشاركون

An, Tianqing
Ren, Xiangsheng
Zuo, Jiabin
Yang, Libo

المصدر

Journal of Function Spaces

العدد

المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-9، 9ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2019-01-02

دولة النشر

مصر

عدد الصفحات

9

التخصصات الرئيسية

الرياضيات

الملخص 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).

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1174899