Dimensionality of Local Minimizers of the Interaction Energy

D. Balagué, J. A. Carrillo, T. Laurent, G. Raoul

Research output: Contribution to journalArticleResearchpeer-review

83 Citations (Scopus)


In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated with a repulsive-attractive potential. We show how the dimensionality of the support of local minimizers is related to the repulsive strength of the potential at the origin. © 2013 Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Pages (from-to)1055-1088
JournalArchive for Rational Mechanics and Analysis
Issue number3
Publication statusPublished - 1 Sep 2013


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