Dimensionality of Local Minimizers of the Interaction Energy

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

Research output: Contribution to journalArticlepeer-review

83 Scopus citations

Abstract

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 (US)
Pages (from-to)1055-1088
Number of pages34
JournalArchive for Rational Mechanics and Analysis
Volume209
Issue number3
DOIs
StatePublished - May 22 2013
Externally publishedYes

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