Dimensionality of Local Minimizers of the Interaction Energy

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

Research output: Contribution to journalArticlepeer-review

108 Scopus citations


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
Issue number3
StatePublished - May 22 2013
Externally publishedYes


Dive into the research topics of 'Dimensionality of Local Minimizers of the Interaction Energy'. Together they form a unique fingerprint.

Cite this