Positive Solutions for Some Competitive Fractional Systems in Bounded Domains
Joint Authors
Zeddini, Noureddine
Bachar, Imed
Mâagli, Habib
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Using some potential theory tools and the Schauder fixed point theorem, we prove the existence and precise global behavior of positive continuous solutions for the competitive fractional system (−Δ|D)α/2u+p(x)uσvr=0, (−Δ|D)α/2v+q(x)usvβ=0 in a bounded C1,1-domain D in ℝn (n≥3), subject to some Dirichlet conditions, where 0<α<2, σ,β≥1,s,r≥0.
The potential functions p,q are nonnegative and required to satisfy some adequate hypotheses related to the Kato class of functions Kα(D).
American Psychological Association (APA)
Bachar, Imed& Mâagli, Habib& Zeddini, Noureddine. 2013. Positive Solutions for Some Competitive Fractional Systems in Bounded Domains. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1006003
Modern Language Association (MLA)
Bachar, Imed…[et al.]. Positive Solutions for Some Competitive Fractional Systems in Bounded Domains. Journal of Function Spaces No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1006003
American Medical Association (AMA)
Bachar, Imed& Mâagli, Habib& Zeddini, Noureddine. Positive Solutions for Some Competitive Fractional Systems in Bounded Domains. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1006003
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006003