Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604393 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2012 | 8 Pages |
Abstract
We study the radial symmetry of minimizers to the Schrödinger–Poisson–Slater (S–P–S) energy:infu∈H1(R3)‖u‖L2(R3)=ρ12∫R3|∇u|2+14∫R3∫R3|u(x)|2|u(y)|2|x−y|dxdy−1p∫R3|u|pdx provided that 2
RésuméOn montre la radialité des minimiseurs de lʼénergie de Schrödinger–Poisson–Slaterinfu∈H1(R3)‖u‖L2(R3)=ρ12∫R3|∇u|2+14∫R3∫R3|u(x)|2|u(y)|2|x−y|dxdy−1p∫R3|u|pdx pourvu que 2
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vladimir Georgiev, Francesca Prinari, Nicola Visciglia,