Dimensionality of Local Minimizers of the Interaction Energy

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

doi:10.1007/s00205-013-0644-6

Dimensionality of Local Minimizers of the Interaction Energy

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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1055-1088
Nombre de pages	34
journal	Archive for Rational Mechanics and Analysis
Volume	209
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00205-013-0644-6
état	Publié - 1 sept. 2013

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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.",

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Dimensionality of Local Minimizers of the Interaction Energy

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