Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
(2022):
Minimizers for a one-dimensional interaction energy.
In: Nonlinear Analysis - Theory Methods & Applications, Vol. 216, 112691
Abstract
We solve explicitly a certain minimization problem for probability measures in one dimension involving an interaction energy that arises in the modeling of aggregation phenomena. We show that in a certain regime minimizers are absolutely continuous with an unbounded density, thereby settling a question that was left open in previous works. (c) 2021 Elsevier Ltd. All rights reserved.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 0362-546X |
| Language: | English |
| Item ID: | 111078 |
| Date Deposited: | 02. Apr 2024, 07:23 |
| Last Modified: | 13. Aug 2024, 12:47 |
| DFG: | Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 390814868 |
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