Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields

DOI10.1007/s00220-019-03560-yzbMath1439.81049arXiv1902.01065OpenAlexW2913119774WikidataQ127322661 ScholiaQ127322661MaRDI QIDQ2181963

Michael Loss, Jean Dolbeault, Maria J. Esteban, A. A. Laptev, Denis Bonheure

Publication date: 20 May 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01065

zbMATH Keywords

Hardy-Sobolev interpolation inequalityKeller-Lieb-Thirring inequality

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Symmetry breaking in quantum theory (81R40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (3)

Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3 ⋮ Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities ⋮ Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• A logarithmic Hardy inequality
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
• Partial symmetry and asymptotic behavior for some elliptic variational problems
• Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field
• Interpolation inequalities and spectral estimates for magnetic operators
• Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
• Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
• Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
• Extremal functions for Caffarelli—Kohn—Nirenberg and logarithmic Hardy inequalities
• One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows
• On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities
• Magnetic rings
• A Sharp Rearrangement Principle in Fourier Space and Symmetry Results for PDEs with Arbitrary Order
• Blowup for Biharmonic NLS
• Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations

This page was built for publication: Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields