抄録
We study the radial symmetry of minimizers to the Schrödinger-Poisson- Slater (S-P-S) energy:infu εH1(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 | |
出版物ステータス | Published - 2012 |
外部発表 | Yes |
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ASJC Scopus subject areas
- Analysis
- Mathematical Physics
これを引用
On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy. / Gueorguiev, Vladimir Simeonov; Prinari, Francesca; Visciglia, Nicola.
:: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 巻 29, 番号 3, 2012, p. 369-376.研究成果: Article
}
TY - JOUR
T1 - On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy
AU - Gueorguiev, Vladimir Simeonov
AU - Prinari, Francesca
AU - Visciglia, Nicola
PY - 2012
Y1 - 2012
N2 - We study the radial symmetry of minimizers to the Schrödinger-Poisson- Slater (S-P-S) energy:infu εH1(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
AB - We study the radial symmetry of minimizers to the Schrödinger-Poisson- Slater (S-P-S) energy:infu εH1(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
UR - http://www.scopus.com/inward/record.url?scp=84861796150&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84861796150&partnerID=8YFLogxK
U2 - 10.1016/j.anihpc.2011.12.001
DO - 10.1016/j.anihpc.2011.12.001
M3 - Article
AN - SCOPUS:84861796150
VL - 29
SP - 369
EP - 376
JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
JF - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
SN - 0294-1449
IS - 3
ER -