Multiplicity of Solutions for Nonlocal Elliptic System of (p,q)-Kirchhoff Type
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is concerned with the following nonlocal elliptic system of (p,q)-Kirchhoff type −[M1(∫Ω|∇u|p)]p−1Δpu=λFu(x,u,v), in Ω, −[M2(∫Ω|∇v|q)]q−1Δqv=λFv(x,u,v), in Ω, u=v=0, on ∂Ω.
Under bounded condition on M and some novel and periodic condition on F, some new results of the existence of two solutions and three solutions of the above mentioned nonlocal elliptic system are obtained by means of Bonanno's multiple critical points theorems without the Palais-Smale condition and Ricceri's three critical points theorem, respectively.
American Psychological Association (APA)
Cheng, Bitao& Wu, Xian& Liu, Jun. 2011. Multiplicity of Solutions for Nonlocal Elliptic System of (p,q)-Kirchhoff Type. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-478676
Modern Language Association (MLA)
Cheng, Bitao…[et al.]. Multiplicity of Solutions for Nonlocal Elliptic System of (p,q)-Kirchhoff Type. Abstract and Applied Analysis No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-478676
American Medical Association (AMA)
Cheng, Bitao& Wu, Xian& Liu, Jun. Multiplicity of Solutions for Nonlocal Elliptic System of (p,q)-Kirchhoff Type. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-478676
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478676