Infinitely Many Solutions for a Superlinear Fractional p -Kirchhoff-Type Problem without the (AR) Condition
Joint Authors
Ren, Xiangsheng
Zuo, Jiabin
Qiao, Zhenhua
Zhu, Lisa
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we investigate the existence of infinitely many solutions to a fractional p -Kirchhoff-type problem satisfying superlinearity with homogeneous Dirichlet boundary conditions as follows: [ a + b ( ∫ R 2 N u x - u y p K x - y d x d y ) ] L p s u - λ | u | p - 2 u = g x , u , i n Ω , u = 0 , i n R N ∖ Ω , where L p s is a nonlocal integrodifferential operator with a singular kernel K .
We only consider the non-Ambrosetti-Rabinowitz condition to prove our results by using the symmetric mountain pass theorem.
American Psychological Association (APA)
Ren, Xiangsheng& Zuo, Jiabin& Qiao, Zhenhua& Zhu, Lisa. 2019. Infinitely Many Solutions for a Superlinear Fractional p -Kirchhoff-Type Problem without the (AR) Condition. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118875
Modern Language Association (MLA)
Ren, Xiangsheng…[et al.]. Infinitely Many Solutions for a Superlinear Fractional p -Kirchhoff-Type Problem without the (AR) Condition. Advances in Mathematical Physics No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1118875
American Medical Association (AMA)
Ren, Xiangsheng& Zuo, Jiabin& Qiao, Zhenhua& Zhu, Lisa. Infinitely Many Solutions for a Superlinear Fractional p -Kirchhoff-Type Problem without the (AR) Condition. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118875