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Nonexistence of Large Nuclei in the Liquid Drop Model

Frank, Rupert L. and Killip, Rowan and Nam, Phan Thành (2016) Nonexistence of Large Nuclei in the Liquid Drop Model. Letters in Mathematical Physics, 106 (8). pp. 1033-1036. ISSN 0377-9017.

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We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Frank, Rupert L.0000-0001-7973-4688
Killip, Rowan0000-0002-4272-7916
Additional Information:© 2016 Springer International Publishing. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Received: 18 April 2016; Revised: 7 May 2016; Accepted: 9 May 2016. Open access funding provided by Institute of Science and Technology Austria. Phan Thành Nam would like to thank H. Van Den Bosch for helpful discussions. Partial support by US National Science Foundation DMS-1363432 (R.L.F.), DMS-1265868 (R.K.) and Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.) are acknowledged.
Funding AgencyGrant Number
Institute of Science and Technology AustriaUNSPECIFIED
FWF Der WissenschaftsfondsP 27533-N27
Subject Keywords:liquid drop model, minimization problem, nonexistence
Issue or Number:8
Classification Code:Mathematics Subject Classification: 49Q10, 49Q20, 81V35
Record Number:CaltechAUTHORS:20160805-093315174
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69466
Deposited By: Tony Diaz
Deposited On:05 Aug 2016 16:46
Last Modified:09 Mar 2020 13:18

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