Geometry of minimizers for the interaction energy with mildly repulsive potentials
We show that the support of any local minimizer of the interaction energy consists of isolated points whenever the interaction potential is of class C2 and mildly repulsive at the origin; moreover, if the minimizer is global, then its support is finite. In addition, for some class of potentials we p...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
Elsevier
2016
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