Imperial College London
Professor Ari Laptev

ProfessorAriLaptev

Faculty of Natural Sciences, Department of Mathematics

Chair in Pure Mathematics
 
 
 
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Contact

 

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

 
 
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Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
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Location

 

680Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Ilyin:2019:10.1016/j.jmaa.2019.01.020,
author = {Ilyin, A and Laptev, A},
doi = {10.1016/j.jmaa.2019.01.020},
journal = {Journal of Mathematical Analysis and Applications},
pages = {1253--1269},
title = {Berezin-Li-Yau inequalities on domains on the sphere},
url = {http://dx.doi.org/10.1016/j.jmaa.2019.01.020},
volume = {473},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We prove Berezin–Li–Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sphere . A sharp explicit bound for the sums of the Neumann eigenvalues is obtained for all dimensions d. In the case of  we also obtain sharp lower bounds with correction terms for the vector Laplacian and the Stokes operator.
AU  - Ilyin,A
AU  - Laptev,A
DO  - 10.1016/j.jmaa.2019.01.020
EP  - 1269
PY  - 2019///
SN  - 0022-247X
SP  - 1253
TI  - Berezin-Li-Yau inequalities on domains on the sphere
T2  - Journal of Mathematical Analysis and Applications
UR  - http://dx.doi.org/10.1016/j.jmaa.2019.01.020
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000459231500033&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/69293
VL  - 473
ER  -
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