Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms
Joint Authors
Yao, Xianzhong
Li, Xia
Zhang, Fuchen
Mu, Chunlai
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we study the following Schrödinger-Poisson equations −Δu+u+ϕu=u5+λaxup−1u,x∈ℝ3,−Δϕ=u2,x∈ℝ3, where the parameter λ>0 and p∈0,1.
When the parameter λ is small and the weight function ax fulfills some appropriate conditions, we admit the Schrödinger-Poisson equations possess infinitely many negative energy solutions by using a truncation technology and applying the usual Krasnoselskii genus theory.
In addition, a byproduct is that the set of solutions is compact.
American Psychological Association (APA)
Yao, Xianzhong& Li, Xia& Zhang, Fuchen& Mu, Chunlai. 2019. Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1119047
Modern Language Association (MLA)
Yao, Xianzhong…[et al.]. Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms. Advances in Mathematical Physics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1119047
American Medical Association (AMA)
Yao, Xianzhong& Li, Xia& Zhang, Fuchen& Mu, Chunlai. Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1119047
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119047