On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy

Vladimir Georgiev; Francesca Prinari; Nicola Visciglia

doi:10.1016/j.anihpc.2011.12.001

On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy

Vladimir Georgiev, Francesca Prinari, Nicola Visciglia

研究成果: Article

9 引用（Scopus）

抜粋

We study the radial symmetry of minimizers to the Schrödinger-Poisson- Slater (S-P-S) energy:infu ε^H1(^R3) ∥u∥^L2(^R3)=ρ12∫^R3|Δu| ²+14∫^R3∫^R3|^u(x)|2| ^u(y)|2|x-y|dxdy-1p∫^R3|^u|pdx provided that 2<p<3 and ρ is small. The main result shows that minimizers are radially symmetric modulo suitable translation.

元の言語	English
ページ（範囲）	369-376
ページ数	8
ジャーナル	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
巻	29
発行部数	3
DOI	https://doi.org/10.1016/j.anihpc.2011.12.001
出版物ステータス	Published - 2012 1 1
外部発表	Yes

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

文献にアクセス

10.1016/j.anihpc.2011.12.001

フィンガープリント On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

これを引用

Georgiev, V., Prinari, F., & Visciglia, N. (2012). On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 29(3), 369-376. https://doi.org/10.1016/j.anihpc.2011.12.001

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