Ground State Solutions to a Critical Nonlocal Integrodifferential System
Joint Authors
Liu, Min
Guo, Zhenyu
Wang, Zhijing
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Consider the following nonlocal integrodifferential system: LKu+λ1u+μ1u2⁎-2u+Gu(x,u,v)=0 in Ω, LKv+λ2v+μ2v2⁎-2v+Gv(x,u,v)=0 in Ω, u=0, v=0 in RN∖Ω, where LK is a general nonlocal integrodifferential operator, λ1,λ2,μ1,μ2>0, 2⁎≔2N/N-2s is a fractional Sobolev critical exponent, 02s, G(x,u,v) is a lower order perturbation of the critical coupling term, and Ω is an open bounded domain in RN with Lipschitz boundary.
Under proper conditions, we establish an existence result of the ground state solution to the nonlocal integrodifferential system.
American Psychological Association (APA)
Liu, Min& Wang, Zhijing& Guo, Zhenyu. 2018. Ground State Solutions to a Critical Nonlocal Integrodifferential System. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119150
Modern Language Association (MLA)
Liu, Min…[et al.]. Ground State Solutions to a Critical Nonlocal Integrodifferential System. Advances in Mathematical Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1119150
American Medical Association (AMA)
Liu, Min& Wang, Zhijing& Guo, Zhenyu. Ground State Solutions to a Critical Nonlocal Integrodifferential System. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119150
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119150