Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential

研究成果: Article

9 引用 (Scopus)

抄録

In the present article we study the radial symmetry and uniqueness of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overcome the difficulties, resulting from the "bad" sign of the nonlocal term, we modify the reflection method and obtain symmetry and uniqueness results.

元の言語English
ページ(範囲)420-438
ページ数19
ジャーナルJournal of Differential Equations
251
発行部数2
DOI
出版物ステータスPublished - 2011 7 15
外部発表Yes

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Coulomb Potential
Minimizer
Uniqueness
Hartree Equation
Radial Symmetry
Symmetry
Energy Functional
Term

ASJC Scopus subject areas

  • Analysis

これを引用

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title = "Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential",
abstract = "In the present article we study the radial symmetry and uniqueness of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overcome the difficulties, resulting from the {"}bad{"} sign of the nonlocal term, we modify the reflection method and obtain symmetry and uniqueness results.",
keywords = "Hartree equations, Minimizers, Nonlinear solitary waves, Symmetry, Variational methods",
author = "Gueorguiev, {Vladimir Simeonov} and George Venkov",
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AU - Gueorguiev, Vladimir Simeonov

AU - Venkov, George

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N2 - In the present article we study the radial symmetry and uniqueness of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overcome the difficulties, resulting from the "bad" sign of the nonlocal term, we modify the reflection method and obtain symmetry and uniqueness results.

AB - In the present article we study the radial symmetry and uniqueness of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overcome the difficulties, resulting from the "bad" sign of the nonlocal term, we modify the reflection method and obtain symmetry and uniqueness results.

KW - Hartree equations

KW - Minimizers

KW - Nonlinear solitary waves

KW - Symmetry

KW - Variational methods

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JO - Journal of Differential Equations

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