Dimensionality of Local Minimizers of the Interaction Energy

作者：Balague, D.^*; Carrillo, J. A.; Laurent, T.; Raoul, G.

来源：Archive for Rational Mechanics and Analysis, 2013, 209(3): 1055-1088.

DOI：10.1007/s00205-013-0644-6

• STATIONARY STATES
• BLOW-UP
• AGGREGATION
• EQUATIONS
• STABILITY
• MODEL

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.

• 出版日期2013-9