Nonexistence Results for the Schrödinger-Poisson Equations with Spherical and Cylindrical Potentials in ℝ3
Joint Authors
Wiwatanapataphee, Benchawan
Jiang, Yongsheng
Zhou, Yanli
Ge, Xiangyu
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-10
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We study the following Schrödinger-Poisson system: -Δu+V(x)u+ϕu=|u|p-1u, -Δϕ=u2, lim|x|→+∞ϕ(x)=0, where u,ϕ:ℝ3→ℝ are positive radial functions, p∈(1,+∞), x=(x1,x2,x3)∈ℝ3, and V(x) is allowed to take two different forms including V(x)=1/(x12+x22+x32)α/2 and V(x)=1/(x12+x22)α/2 with α>0.
Two theorems for nonexistence of nontrivial solutions are established, giving two regions on the α-p plane where the system has no nontrivial solutions.
American Psychological Association (APA)
Jiang, Yongsheng& Zhou, Yanli& Wiwatanapataphee, Benchawan& Ge, Xiangyu. 2013. Nonexistence Results for the Schrödinger-Poisson Equations with Spherical and Cylindrical Potentials in ℝ3. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1003175
Modern Language Association (MLA)
Jiang, Yongsheng…[et al.]. Nonexistence Results for the Schrödinger-Poisson Equations with Spherical and Cylindrical Potentials in ℝ3. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1003175
American Medical Association (AMA)
Jiang, Yongsheng& Zhou, Yanli& Wiwatanapataphee, Benchawan& Ge, Xiangyu. Nonexistence Results for the Schrödinger-Poisson Equations with Spherical and Cylindrical Potentials in ℝ3. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1003175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1003175
