Existence Results for the Periodic Thomas-Fermi-Dirac-von Weizsäcker Equations

Shaowei Chen, Lishan Lin and Liqin Xiao

Advances in Mathematical Physics, 2015, vol. 2015, 1-9

Abstract:

We consider the Thomas-Fermi-Dirac-von Weizsäcker equation = , , where is a parameter, , is 1-periodic in , for , and 0 is in a spectral gap of the operator . Using a new infinite-dimensional linking theorem, we prove that, for sufficiently small , this equation has a nontrivial solution.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:652407

DOI: 10.1155/2015/652407

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