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, issue 1

Abstract: We consider the Thomas‐Fermi‐Dirac‐von Weizsäcker equation −Δu + V(x)u + (u2⋆(1/|x|))u = λ|u|p−2u − |u|q−2u, u∈H1R3, where λ > 0 is a parameter, 2 0, this equation has a nontrivial solution.

Date: 2015
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https://doi.org/10.1155/2015/652407

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:652407

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