Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System

Joint Authors

Chen, Shaowei
Xiao, Liqin

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-02-19

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We consider a Schrödinger-Poisson system in ℝ3 with a strongly indefinite potential and a general nonlinearity.

Its variational functional does not satisfy the global linking geometry.

We obtain a nontrivial solution and, in case of odd nonlinearity, infinitely many solutions using the local linking and improved fountain theorems, respectively.

American Psychological Association (APA)

Chen, Shaowei& Xiao, Liqin. 2014. Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013526

Modern Language Association (MLA)

Chen, Shaowei& Xiao, Liqin. Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1013526

American Medical Association (AMA)

Chen, Shaowei& Xiao, Liqin. Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013526

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013526