On Fourth-Order Elliptic Equations of Kirchhoff Type with Dependence on the Gradient and the Laplacian
Joint Authors
Wang, Fanglei
An, Tianqing
Wang, Yunhai
Ru, Yuanfang
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider a nonlocal fourth-order elliptic equation of Kirchhoff type with dependence on the gradient and Laplacian Δ2u-a+b∫Ω∇u2dxΔu=fx,u,∇u,Δu, in Ω, u=0, Δu=0, on ∂Ω, where a, b are positive constants.
We will show that there exists b⁎>0 such that the problem has a nontrivial solution for 0
American Psychological Association (APA)
Ru, Yuanfang& Wang, Fanglei& Wang, Yunhai& An, Tianqing. 2018. On Fourth-Order Elliptic Equations of Kirchhoff Type with Dependence on the Gradient and the Laplacian. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1186760
Modern Language Association (MLA)
Ru, Yuanfang…[et al.]. On Fourth-Order Elliptic Equations of Kirchhoff Type with Dependence on the Gradient and the Laplacian. Journal of Function Spaces No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1186760
American Medical Association (AMA)
Ru, Yuanfang& Wang, Fanglei& Wang, Yunhai& An, Tianqing. On Fourth-Order Elliptic Equations of Kirchhoff Type with Dependence on the Gradient and the Laplacian. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1186760
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186760
