Dimensionality of Local Minimizers of the Interaction Energy
Analysis of PDEs
2015-06-11 v1
Abstract
In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated to a repulsive-attractive potential. We show how the imensionality of the support of local minimizers is related to the repulsive strength of the potential at the origin.
Keywords
Cite
@article{arxiv.1210.6795,
title = {Dimensionality of Local Minimizers of the Interaction Energy},
author = {D. Balagué and J. A. Carrillo and T. Laurent and G. Raoul},
journal= {arXiv preprint arXiv:1210.6795},
year = {2015}
}
Comments
27 pages