Twin Positive Solutions for Schrödinger-Kirchhoff-Type Problem with Singularity and Critical Exponents
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study in this paper the following singular Schrödinger-Kirchhoff-type problem with critical exponent -a+b∫Ω∇u2dxΔu+u=Q(x)u5+μxα-2u+f(x)(λ/uγ) in Ω,u=0 on ∂Ω, where a,b>0 are constants, Ω⊂R3 is a smooth bounded domain, 0<α<1, λ>0 is a real parameter, γ∈(0,1) is a constant, and 0<μ Under appropriate assumptions on Q and f, we obtain two positive solutions via the variational and perturbation methods.
American Psychological Association (APA)
Han, Wei& Zhao, Yangyang. 2018. Twin Positive Solutions for Schrödinger-Kirchhoff-Type Problem with Singularity and Critical Exponents. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1186479
Modern Language Association (MLA)
Han, Wei& Zhao, Yangyang. Twin Positive Solutions for Schrödinger-Kirchhoff-Type Problem with Singularity and Critical Exponents. Journal of Function Spaces No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1186479
American Medical Association (AMA)
Han, Wei& Zhao, Yangyang. Twin Positive Solutions for Schrödinger-Kirchhoff-Type Problem with Singularity and Critical Exponents. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1186479
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186479