Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms

Joint Authors

Wu, Xian
Duan, Shengzhong

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-03-28

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

In the present paper, we consider the following Hamiltonian elliptic system HES: -Δu+bx·∇u+Vxu=Hvx,u,v, x∈RN, -Δv-bx·∇v+Vxv=Hux,u,v, x∈RN.

A new existence result of nontrivial solutions is obtained for the system HES via variational methods for strongly indefinite problems, which generalizes some known results in the literatures.

American Psychological Association (APA)

Duan, Shengzhong& Wu, Xian. 2017. Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1151908

Modern Language Association (MLA)

Duan, Shengzhong& Wu, Xian. Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1151908

American Medical Association (AMA)

Duan, Shengzhong& Wu, Xian. Solutions for a Class of Nonperiodic Superquadratic Hamiltonian Elliptic Systems Involving Gradient Terms. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1151908

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1151908