On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term
Joint Authors
Wang, Wenbo
Zhou, Jianwen
Li, Yongkun
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In the present paper, we consider the following Hamiltonian elliptic system with Choquard’s nonlinear term −Δu+Vxu=∫ΩGvy/x−yβdygv in Ω,−Δv+Vxv=∫ΩFuy/x−yαdyfu in Ω,u=0,v=0 on ∂Ω,where Ω⊂ℝN is a bounded domain with a smooth boundary, 0<α By establishing a strongly indefinite variational setting, we prove that the above problem has a ground state solution.
American Psychological Association (APA)
Wang, Wenbo& Zhou, Jianwen& Li, Yongkun. 2020. On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127531
Modern Language Association (MLA)
Wang, Wenbo…[et al.]. On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term. Advances in Mathematical Physics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1127531
American Medical Association (AMA)
Wang, Wenbo& Zhou, Jianwen& Li, Yongkun. On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127531
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127531
