Existence of infinitely solutions for a modified nonlinear Schrödinger equation via dual approach

Zhang, Xinguang; Liu, Lishan; Wu, Yong Hong; Cui, Y.

Access Status

Fulltext not available

Authors

Zhang, Xinguang

Liu, Lishan

Wu, Yong Hong

Cui, Y.

Date

2018

Type

Journal Article

Metadata

Show full item record

Citation

Zhang, X. and Liu, L. and Wu, Y.H. and Cui, Y. 2018. Existence of infinitely solutions for a modified nonlinear Schrödinger equation via dual approach. Electronic Journal of Differential Equations. 2018.

Source Title

Electronic Journal of Differential Equations

ISSN

1072-6691

School

School of Electrical Engineering, Computing and Mathematical Science (EECMS)

URI

http://hdl.handle.net/20.500.11937/72169

Collection

Curtin Research Publications

Abstract

© 2018 Texas State University. In this article, we focus on the existence of infinitely many weak solutions for the modified nonlinear Schrödinger equation (Formula Presented.) where 1 = a < 2, f ? C(RN× R, R). By using a symmetric mountain pass theorem and dual approach, we prove that the above equation has infinitely many high energy solutions.