Existence and Uniqueness of Positive Solution for p-Laplacian Kirchhoff-Schrödinger-Type Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study the existence and uniqueness of positive solution for the following p-Laplacian-Kirchhoff-Schrödinger-type equation: -a+b∫Ω∇up∆pu+λvxup-2u=hfu-μgu, in Ω, u>0, in Ω, u=0,on ∂Ω, where Ω⊂RN (N≥3), λ,μ≥0 are parameters, v(x),f(u),g(u) and h are under some suitable assumptions.
For the purpose of overcoming the difficulty caused by the appearance of the Schrödinger term and general singularity, we use the variational method and some mathematical skills to obtain the existence and uniqueness of the solution to this problem.
American Psychological Association (APA)
Han, Wei& Yao, Jiangyan. 2018. Existence and Uniqueness of Positive Solution for p-Laplacian Kirchhoff-Schrödinger-Type Equation. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1119322
Modern Language Association (MLA)
Han, Wei& Yao, Jiangyan. Existence and Uniqueness of Positive Solution for p-Laplacian Kirchhoff-Schrödinger-Type Equation. Advances in Mathematical Physics No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1119322
American Medical Association (AMA)
Han, Wei& Yao, Jiangyan. Existence and Uniqueness of Positive Solution for p-Laplacian Kirchhoff-Schrödinger-Type Equation. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1119322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119322