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)

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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∫R3R3|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
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

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