Published December 2021
| Version Published + Submitted
Journal Article
Open
Existence and nonexistence in the liquid drop model
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1.
Ludwig-Maximilians-Universität München
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2.
Munich Center for Quantum Science and Technology
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3.
California Institute of Technology
Abstract
We revisit the liquid drop model with a general Riesz potential. Our new result is the existence of minimizers for the conjectured optimal range of parameters. We also prove a conditional uniqueness of minimizers and a nonexistence result for heavy nuclei.
Additional Information
© The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Received 06 January 2021; Accepted 26 July 2021; Published 16 September 2021. Partial support through U.S. National Science Foundation grants DMS-1363432 and DMS-1954995 (R.L.F.) and through the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Germany's Excellence Strategy EXC - 2111 - 390814868 (R.L.F., P.T.N.) is acknowledged. Open Access funding enabled and organized by Projekt DEAL. This paper may be reproduced, in its entirety, for non-commercial purposes. Communicated by E. Lenzmann.Attached Files
Published - Frank-Nam2021_Article_ExistenceAndNonexistenceInTheL.pdf
Submitted - 2101.02163.pdf
Files
2101.02163.pdf
Additional details
Identifiers
- Eprint ID
- 111359
- Resolver ID
- CaltechAUTHORS:20211011-213336774
Related works
- Describes
- https://arxiv.org/abs/2101.02163 (URL)
Funding
- NSF
- DMS-1363432
- NSF
- DMS-1954995
- Deutsche Forschungsgemeinschaft (DFG)
- EXC-2111 - 390814868
- Projekt DEAL
Dates
- Created
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2021-10-11Created from EPrint's datestamp field
- Updated
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2021-10-11Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department