"In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Berezin bound and of the Li-Yau bound in the presence of a constant magnetic field previously obtained by Erdős et al. and Melas.''
%0 Journal Article
%1 MR3304579
%A Kovar\'ık, Hynek
%A Weidl, Timo
%D 2015
%E Press, Cambridge Univ.
%J Proc. Roy. Soc. Edinburgh Sect. A
%K Berezin with inequalities from:elkepeter field Weidl Kovarik magnetic
%N 1
%P 145-160
%R 10.1017/S0308210513001595
%T Improved Berezin-Li-Yau inequalities with magnetic field
%U https://doi.org/10.1017/S0308210513001595
%V 145
%X "In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Berezin bound and of the Li-Yau bound in the presence of a constant magnetic field previously obtained by Erdős et al. and Melas.''
@article{MR3304579,
abstract = {"In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Berezin bound and of the Li-Yau bound in the presence of a constant magnetic field previously obtained by Erdős et al. and Melas.''},
added-at = {2023-04-17T16:09:30.000+0200},
author = {Kovar\'ık, Hynek and Weidl, Timo},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2788733701971e5f0ddada0dd083d76ef/mathematik},
doi = {10.1017/S0308210513001595},
editor = {Press, Cambridge Univ.},
interhash = {74a290bcdbdb4a01aad3e89c55391a0c},
intrahash = {788733701971e5f0ddada0dd083d76ef},
issn = {0308-2105},
journal = {Proc. Roy. Soc. Edinburgh Sect. A},
keywords = {Berezin with inequalities from:elkepeter field Weidl Kovarik magnetic},
language = {English},
mrclass = {35P20 (35J05)},
mrnumber = {3304579},
number = 1,
pages = {145-160},
timestamp = {2023-04-21T11:18:27.000+0200},
title = {Improved Berezin-Li-Yau inequalities with magnetic field},
url = {https://doi.org/10.1017/S0308210513001595},
volume = 145,
year = 2015
}