Semiclassical Solutions for a Kind of Coupled Schrödinger Equations
Joint Authors
Zhang, Qiongfen
Fan, Jinmei
Jiang, Yi-rong
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-17
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we are concerned with the following coupled Schrödinger equations −λ2Δu+a1xu=cxv+a2xup−2u+a3xu2∗−2u,x∈ℝN,−λ2Δv+b1xv=cxu+b2xvp−2v+b3xv2∗−2v,x∈ℝN, where 2
0 is a parameter; and a1,a2,a3,b1,b2,b3,c∈CℝN,ℝ and u,v∈H1ℝN.
Under some suitable conditions that a10=infa1=0 or b10=infb1=0 and cx2≤ϑa1xb1x with ϑ∈0,1, the above coupled Schrödinger system possesses nontrivial solutions if λ∈0,λ0, where λ0 is related to a1,a2,a3,b1,b2,b3, and N.
American Psychological Association (APA)
Fan, Jinmei& Jiang, Yi-rong& Zhang, Qiongfen. 2020. Semiclassical Solutions for a Kind of Coupled Schrödinger Equations. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127386
Modern Language Association (MLA)
Fan, Jinmei…[et al.]. Semiclassical Solutions for a Kind of Coupled Schrödinger Equations. Advances in Mathematical Physics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1127386
American Medical Association (AMA)
Fan, Jinmei& Jiang, Yi-rong& Zhang, Qiongfen. Semiclassical Solutions for a Kind of Coupled Schrödinger Equations. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127386
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127386