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

Vladimir Georgiev, George Venkov

Research output: Contribution to journalArticle

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)420-438
Number of pages19
JournalJournal of Differential Equations
Volume251
Issue number2
DOIs
Publication statusPublished - 2011 Jul 15
Externally publishedYes

Keywords

  • Hartree equations
  • Minimizers
  • Nonlinear solitary waves
  • Symmetry
  • Variational methods

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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