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

Shaowei Chen; Lishan Lin; Liqin Xiao

doi:10.1155/2015/652407

Advances in Mathematical Physics (Jan 2015)

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

Shaowei Chen,
Lishan Lin,
Liqin Xiao

Affiliations

Shaowei Chen: School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
Lishan Lin: School of Applied Mathematical Sciences, Xiamen University of Technology, Xiamen 361024, China
Liqin Xiao: School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

DOI: https://doi.org/10.1155/2015/652407
Journal volume & issue: Vol. 2015

Abstract

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We consider the Thomas-Fermi-Dirac-von Weizsäcker equation -Δu+Vxu+u2⋆(1/x)u = λup-2u-uq-2u, u∈H1R3, where λ>0 is a parameter, 20, this equation has a nontrivial solution.

Published in Advances in Mathematical Physics

ISSN: 1687-9120 (Print); 1687-9139 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Physics
Website: https://www.hindawi.com/journals/amp/

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