Multiplicity of Positive Solutions for Semilinear Elliptic Systems
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study the effect of the coefficient h(x) of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems.
Under suitable assumptions for f(x), g(x), and h(x), we should prove that for sufficiently small λ,μ>0, there are at least k+1 positive solutions of the semilinear elliptic systems -Δu=λf(x)|u|q-2u+(α/(α+β))h(x)|u|α-2u|v|β, -Δv=μg(x)|v|q-2v+(β/(α+β))h(x)|u|α|v|β-2v, where 0∈Ω⊂ℝN is a bounded domain, α>1, β>1, and N/(N-2)4.
American Psychological Association (APA)
Hsu, Tsing-San. 2013. Multiplicity of Positive Solutions for Semilinear Elliptic Systems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-495409
Modern Language Association (MLA)
Hsu, Tsing-San. Multiplicity of Positive Solutions for Semilinear Elliptic Systems. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-495409
American Medical Association (AMA)
Hsu, Tsing-San. Multiplicity of Positive Solutions for Semilinear Elliptic Systems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-495409
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495409