Electron. J. Diff. Equ., Vol. 2016 (2016), No. 141, pp. 1-12.

Periodic solutions for nonlinear Dirac equation with superquadratic nonlinearity

Jian Zhang, Qiming Zhang, Xianhua Tang, Wen Zhang

Abstract:
This article concerns the periodic solutions for a nonlinear Dirac equation. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.

Submitted August 6, 2015. Published June 10, 2016.
Math Subject Classifications: 35Q40, 49J35.
Key Words: Nonlinear Dirac equation; periodic solutions; variational method.

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Jian Zhang
School of Mathematics and Statistics
Hunan University of Commerce
Changsha, 410205 Hunan, China
email: zhangjian433130@163.com
Qiming Zhang
College of Science
Hunan University of Technology
Zhuzhou, 412007 Hunan, China
email: kimberly626@126.com
Xianhua Tang
School of Mathematics and Statistics
Central South University
Changsha, 410083 Hunan, China
email: tangxh@mail.csu.edu.cn
Wen Zhang
School of Mathematics and Statistics
Central South University
Changsha, 410083 Hunan, China
email: zwmath2011@163.com

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