数学物理学报 ›› 2016, Vol. 36 ›› Issue (5): 965-977.

• 论文 • 上一篇    下一篇

一类带大参数的周期Thomas-Fermi-Dirac-von Weizsäcker方程非零解的存在性

陈少伟, 肖利琴   

  1. 华侨大学数学学院 福建泉州 362021
  • 收稿日期:2015-10-19 修回日期:2016-04-12 出版日期:2016-10-26 发布日期:2016-10-26
  • 通讯作者: 肖利琴,E-mail:2143866438@qq.com E-mail:2143866438@qq.com
  • 作者简介:肖利琴,E-mail:2143866438@qq.com
  • 基金资助:

    华侨大学中青年教师资助项目(ZQN-PY119)资助

Existence of Nontrivial Solution of a Periodic Thomas-Fermi-Dirac-von Weizsäcker Equation with a Large Parameter

Chen Shaowei, Xiao Liqin   

  1. School of Mathematics, Huaqiao University, Fujian Quanzhou 362021
  • Received:2015-10-19 Revised:2016-04-12 Online:2016-10-26 Published:2016-10-26
  • Supported by:

    Supported by the Young and Middle-Aged Teachers Founded Projects of Huaqiao University (ZQN-PY119)

摘要:

研究了一类带大参数的周期Thomas-Fermi-Dirac-von Weizsäcker方程非零解的存在性问题,运用一个新的无穷维环绕定理,证明了当参数充分大时,该方程存在非零解.

关键词: Thomas-Fermi-Dirac-von Weizsä, cker方程, 临界点理论

Abstract:

This paper studies a periodic Thomas-Fermi-Dirac-von Weizsäcker equation with a large parameter. Using a new infinite-dimensional linking theorem, we prove that, for sufficiently large parameter, this equation has a nontrivial solution.

Key words: Thomas-Fermi-Dirac-von Weizsä, cker equation, Critical point theory

中图分类号: 

  • O175.25