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

Vladimir Simeonov Gueorguiev, Francesca Prinari, Nicola Visciglia

研究成果: Article

9 引用 (Scopus)

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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Minimizer
Siméon Denis Poisson
Radial Symmetry
Energy
Modulo

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

Gueorguiev, VS, 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, 巻. 29, 番号 3, pp. 369-376. https://doi.org/10.1016/j.anihpc.2011.12.001
Gueorguiev VS, Prinari F, Visciglia N. On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 2012;29(3):369-376. https://doi.org/10.1016/j.anihpc.2011.12.001
Gueorguiev, Vladimir Simeonov ; Prinari, Francesca ; Visciglia, Nicola. / On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy. ：: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 2012 ; 巻 29, 番号 3. pp. 369-376.
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