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The Lieb-Thirring inequality revisited

Frank, Rupert L. and Hundertmark, Dirk and Jex, Michal and Nam, Phan Thành (2021) The Lieb-Thirring inequality revisited. Journal of the European Mathematical Society, 23 (8). pp. 2583-2600. ISSN 1435-9855. doi:10.4171/jems/1062.

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We provide new estimates on the best constant of the Lieb–Thirring inequality for the sum of the negative eigenvalues of Schrödinger operators, which significantly improve the so far existing bounds.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Frank, Rupert L.0000-0001-7973-4688
Hundertmark, Dirk0000-0002-0643-0138
Jex, Michal0000-0003-0910-0692
Nam, Phan Thành0000-0001-7599-9742
Additional Information:© 2021 EMS Publishing House. Published online: 2021-04-07. We thank Sabine Boegli for helpful discussions. This work was partially supported by U.S. NSF grant DMS-1363432 (R.L.F.), the Alfried Krupp von Bohlen und Halbach Foundation, and the Deutsche Forschungsgemeinschaft (DFG) through CRC 1173 (D.H.).
Funding AgencyGrant Number
Alfried Krupp von Bohlen und Halbach FoundationUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)CRC 1173
Subject Keywords:Lieb–Thirring inequality, Schrödinger operator, Sobolev inequality
Issue or Number:8
Record Number:CaltechAUTHORS:20210713-164447574
Persistent URL:
Official Citation:Frank Rupert, Hundertmark Dirk, Jex Michal, Nam Phan Thành: The Lieb–Thirring inequality revisited. J. Eur. Math. Soc. 23 (2021), 2583-2600. doi: 10.4171/JEMS/1062
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109786
Deposited By: Tony Diaz
Deposited On:13 Jul 2021 16:53
Last Modified:05 Nov 2021 20:32

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