Publication:
Nonexistence results for the schrödinger-poisson equations with spherical and cylindrical potentials in double-struck R sign 3

Issued Date

2013-10-07

Resource Type

Article

ISSN

16870409
10853375

DOI

10.1155/2013/890126

Other identifier(s)

2-s2.0-84884853630

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Abstract and Applied Analysis. Vol.2013, (2013), 1-6

Suggested Citation

Yongsheng Jiang, Yanli Zhou, B. Wiwatanapataphee, Xiangyu Ge Nonexistence results for the schrödinger-poisson equations with spherical and cylindrical potentials in double-struck R sign 3. Abstract and Applied Analysis. Vol.2013, (2013), 1-6. doi:10.1155/2013/890126 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/32016

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Title

Nonexistence results for the schrödinger-poisson equations with spherical and cylindrical potentials in double-struck R sign 3

Author(s)

Yongsheng Jiang
 Yanli Zhou
 B. Wiwatanapataphee
 Xiangyu Ge

Other Contributor(s)

Zhongnan University of EcoNomics and Law
 Curtin University
 Mahidol University

Abstract

We study the following Schrödinger-Poisson system: - Δ u + V (x) u + φ u = | u | p - 1 u, - Δ φ = u 2, lim | x | → + ∞ φ (x) = 0, where u, φ: double-struck R sign 3 → double-struck R sign are positive radial functions, p ∈ (1, + ∞), x = (x 1, x 2, x 3) ∈ double-struck R sign 3, and V (x) is allowed to take two different forms including V (x) = 1 / (x 1 2 + x 2 2 + x 3 2) α / 2 and V (x) = 1 / (x 1 2 + x 2 2) 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. © 2013 Yongsheng Jiang et al.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/32016

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