Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-03
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study the following fourth-order elliptic equations: Δ2u+aΔu=f(x,u), x∈Ω, u=Δu=0, x∈∂Ω, where Ω⊂ℝN is a bounded domain with smooth boundary ∂Ω and f(x,u) is asymptotically linear with respect to u at infinity.
Using an equivalent version of Cerami's condition and the symmetric mountain pass lemma, we obtain the existence of multiple solutions for the equations.
American Psychological Association (APA)
Liu, Qiong& Lü, Dengfeng. 2012. Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993652
Modern Language Association (MLA)
Liu, Qiong& Lü, Dengfeng. Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993652
American Medical Association (AMA)
Liu, Qiong& Lü, Dengfeng. Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993652
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993652