Imperial College London
Professor Ari Laptev

ProfessorAriLaptev

Faculty of Natural Sciences, Department of Mathematics

Chair in Pure Mathematics
 
 
 
//

Contact

 

+44 (0)20 7594 8499a.laptev Website

 
 
//

Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
//

Location

 

680Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Fanelli:2020:10.1080/03605302.2020.1763399,
author = {Fanelli, L and Krejcirik, D and Laptev, A and Vega, L},
doi = {10.1080/03605302.2020.1763399},
journal = {Communications in Partial Differential Equations},
pages = {1--11},
title = {On the improvement of the Hardy inequality due to singular magnetic fields},
url = {http://dx.doi.org/10.1080/03605302.2020.1763399},
volume = {45},
year = {2020}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimensions and establish a sharp Hardy-type inequality that takes into account both the dimensional as well as the magnetic flux contributions. Second, in the three-dimensional Euclidean space, we derive a non-trivial magnetic Hardy inequality for a magnetic field that vanishes at infinity and diverges along a plane.
AU  - Fanelli,L
AU  - Krejcirik,D
AU  - Laptev,A
AU  - Vega,L
DO  - 10.1080/03605302.2020.1763399
EP  - 11
PY  - 2020///
SN  - 0360-5302
SP  - 1
TI  - On the improvement of the Hardy inequality due to singular magnetic fields
T2  - Communications in Partial Differential Equations
UR  - http://dx.doi.org/10.1080/03605302.2020.1763399
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000534157500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://www.tandfonline.com/doi/full/10.1080/03605302.2020.1763399
UR  - http://hdl.handle.net/10044/1/79617
VL  - 45
ER  -
Download