Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (5): 965-977.

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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)

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

CLC Number: 

  • O175.25
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