• français
    • English
  • English 
    • français
    • English
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
BIRD Home

Browse

This CollectionBy Issue DateAuthorsTitlesSubjectsJournals BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesSubjectsJournals

My Account

Login

Statistics

View Usage Statistics

Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3

Thumbnail
View/Open
BDELL.pdf (428.6Kb)
Date
2019
Publisher city
Paris
Publisher
Cahier de recherche CEREMADE, Université Paris-Dauphine
Publishing date
02-2019
Collection title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Link to item file
https://hal.archives-ouvertes.fr/hal-02021174
Dewey
Analyse
Sujet
Aharonov-Bohm magnetic potential; radial symmetry; cylindrical symmetry; symmetry breaking; magnetic Hardy inequality; magnetic interpolation inequality; optimal constants; magnetic Schrödinger operator; magnetic Keller-Lieb-Thirring inequality; magnetic rings
URI
https://basepub.dauphine.fr/handle/123456789/18551
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Bonheure, Denis
255058 Département de mathématiques Université Libre de Bruxelles
Dolbeault, Jean
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Esteban, Maria J.
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Laptev, Ari
4553 Department of Mathematics [Imperial College London]
Loss, Michael
7772 School of Mathematics - Georgia Institute of Technology
Type
Document de travail / Working paper
Item number of pages
25
Abstract (EN)
This paper is devoted to interpolation inequalities of Gagliardo-Nirenberg type associated with Schrödinger operators involving Aharonov-Bohm magnetic potentials and related magnetic Hardy inequalities in dimensions 2 and 3. The focus is on symmetry properties of the optimal functions, with explicit ranges of symmetry and symmetry breaking in terms of the intensity of the magnetic potential.

Related items

Showing items related by title, author, creator and subject.

  • Characterization of the critical magnetic field in the Dirac-Coulomb equation 

    Dolbeault, Jean; Esteban, Maria J.; Loss, Michael (2008) Article accepté pour publication ou publié
  • Relativistic hydrogenic atoms in strong magnetic fields 

    Dolbeault, Jean; Esteban, Maria J.; Loss, Michael (2007) Article accepté pour publication ou publié
  • On the XFEL Schrödinger Equation: Highly Oscillatory Magnetic Potentials and Time Averaging 

    Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter (2014) Article accepté pour publication ou publié

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Content on this site is licensed under a Creative Commons 2.0 France (CC BY-NC-ND 2.0) license.