数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 840-850.doi: 10.1016/S0252-9602(14)60054-0

• 论文 • 上一篇    下一篇

ON GROUND STATE SOLUTIONS FOR SUPERLINEAR DIRAC EQUATION

张健, 唐先华, 张文   

  1. School of Mathematics and Statistics, Central South University, Changsha 410083, China
  • 收稿日期:2013-05-23 修回日期:2013-10-29 出版日期:2014-05-20 发布日期:2014-05-20
  • 基金资助:

    This work is partially supported by the Hunan Provincial Innovation Foundation for Postgraduate (CX2013A003) and the NNSF (11171351, 11361078) and SRFDP (20120162110021) of China.

ON GROUND STATE SOLUTIONS FOR SUPERLINEAR DIRAC EQUATION

 ZHANG Jian, TANG Xian-Hua, ZHANG Wen   

  1. School of Mathematics and Statistics, Central South University, Changsha 410083, China
  • Received:2013-05-23 Revised:2013-10-29 Online:2014-05-20 Published:2014-05-20
  • Supported by:

    This work is partially supported by the Hunan Provincial Innovation Foundation for Postgraduate (CX2013A003) and the NNSF (11171351, 11361078) and SRFDP (20120162110021) of China.

摘要:

This article is concerned with the nonlinear Dirac equations
-it φ= ich φmc2β φ  + R φ(xφ ) in R3.
Under suitable assumptions on the nonlinearity, we establish the existence of ground state solutions by the generalized Nehari manifold method developed recently by Szulkin andWeth.
3k=1αkk

关键词: Nonlinear Dirac equation, ground state solutions, generalized Nehari manifold, strongly indefinite functionals

Abstract:

This article is concerned with the nonlinear Dirac equations
-it φ= ich φmc2β φ  + R φ(xφ ) in R3.
Under suitable assumptions on the nonlinearity, we establish the existence of ground state solutions by the generalized Nehari manifold method developed recently by Szulkin andWeth.
3k=1αkk

Key words: Nonlinear Dirac equation, ground state solutions, generalized Nehari manifold, strongly indefinite functionals

中图分类号: 

  • 35Q40