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Multiple Solutions for a Singular Quasilinear Elliptic System
Joint Authors
Chen, Lin
Chen, Caisheng
Xiu, Zonghu
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system -div(|x|-ap|∇u|p-2∇u)+f1(x)|u|p-2u=(α/(α+β))g(x)|u|α-2u|v|β+λh1(x)|u|γ-2u+l1(x), -div(|x|-ap|∇v|p-2∇v)+f2(x)|v|p-2v=(β/(α+β))g(x)|v|β-2v|u|α+μh2(x)|v|γ-2v+l2(x), u(x)>0, v(x)>0, x∈ℝN, where λ,μ>0, 1
0.
The functions f1(x), f2(x), g(x), h1(x), h2(x), l1(x), and l2(x) satisfy some suitable conditions.
We will prove that the problem has at least two nontrivial solutions by using Mountain Pass Theorem and Ekeland's variational principle.
American Psychological Association (APA)
Chen, Lin& Chen, Caisheng& Xiu, Zonghu. 2013. Multiple Solutions for a Singular Quasilinear Elliptic System. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1011839
Modern Language Association (MLA)
Chen, Lin…[et al.]. Multiple Solutions for a Singular Quasilinear Elliptic System. The Scientific World Journal No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1011839
American Medical Association (AMA)
Chen, Lin& Chen, Caisheng& Xiu, Zonghu. Multiple Solutions for a Singular Quasilinear Elliptic System. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1011839
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011839