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 language | English |
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Pages (from-to) | 1055-1088 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 209 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Sep 2013 |