Uniqueness and symmetry of minimizers to repulsive nonlocal functionals

被引：1

作者：

Genev, Hristo ^{[1
]}

Venkov, George ^{[2
]}

机构：

[1] Sofia Univ St Kl Ohridski, Fac Math & Informat, Sofia, Bulgaria

[2] Techn Univ Sofia, Fac Appl Math & Informat, Sofia, Bulgaria

来源：

APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'11): PROCEEDINGS OF THE 37TH INTERNATIONAL CONFERENCE | 2011年 / 1410卷

关键词：

repulsive Hartree functional; action minimizers; Hanner inequality; external Coulomb potential;

D O I：

10.1063/1.3664366

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present article we study the minimizers of the action functional, corresponding to the repulsive Hartree equation in the presence of external Coulomb potential. Using a modified reflection method and Pohozaev integral identities we prove that the action minimizer is radially symmetric and unique.

引用

页数：12

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