Existence of Solutions for a Modified Nonlinear Schrödinger System
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We are concerned with the following modified nonlinear Schrödinger system: -Δu+u-(1/2)uΔ(u2)=(2α/(α+β))|u|α-2|v|βu, x∈Ω, -Δv+v-(1/2)vΔ(v2)=(2β/(α+β))|u|α|v|β-2v, x∈Ω, u=0, v=0, x∈∂Ω, where α>2, β>2, α+β<2·2*, 2*=2N/(N-2) is the critical Sobolev exponent, and Ω⊂ℝN (N≥3) is a bounded smooth domain.
By using the perturbation method, we establish the existence of both positive and negative solutions for this system.
American Psychological Association (APA)
Jiao, Yujuan& Wang, Yanli. 2013. Existence of Solutions for a Modified Nonlinear Schrödinger System. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-471765
Modern Language Association (MLA)
Jiao, Yujuan& Wang, Yanli. Existence of Solutions for a Modified Nonlinear Schrödinger System. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-471765
American Medical Association (AMA)
Jiao, Yujuan& Wang, Yanli. Existence of Solutions for a Modified Nonlinear Schrödinger System. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-471765
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471765