Existence of Multispike Positive Solutions for a Nonlocal Problem in ℝ3
Joint Authors
Yang, Jing
Bian, Qiuxiang
Zhao, Na
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we study the following nonlinear Choquard equation −ϵ2Δu+Kxu=1/8πϵ2∫ℝ3u2y/x−ydyu,x∈ℝ3, where ϵ>0 and Kx is a positive bounded continuous potential on ℝ3.
By applying the reduction method, we proved that for any positive integer k, the above equation has a positive solution with k spikes near the local maximum point of Kx if ϵ>0 is sufficiently small under some suitable conditions on Kx.
American Psychological Association (APA)
Yang, Jing& Bian, Qiuxiang& Zhao, Na. 2020. Existence of Multispike Positive Solutions for a Nonlocal Problem in ℝ3. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127494
Modern Language Association (MLA)
Yang, Jing…[et al.]. Existence of Multispike Positive Solutions for a Nonlocal Problem in ℝ3. Advances in Mathematical Physics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1127494
American Medical Association (AMA)
Yang, Jing& Bian, Qiuxiang& Zhao, Na. Existence of Multispike Positive Solutions for a Nonlocal Problem in ℝ3. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127494
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127494