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Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 (2022): Minimizers for a one-dimensional interaction energy. In: Nonlinear Analysis - Theory Methods & Applications, Bd. 216, 112691

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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.

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