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

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

83 Citations (Scopus)

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
Pages (from-to)	1055-1088
Journal	Archive for Rational Mechanics and Analysis
Volume	209
Issue number	3
DOIs	https://doi.org/10.1007/s00205-013-0644-6
Publication status	Published - 1 Sep 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. {\textcopyright} 2013 Springer-Verlag Berlin Heidelberg.",

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AB - 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.

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DO - 10.1007/s00205-013-0644-6

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JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

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Dimensionality of Local Minimizers of the Interaction Energy

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