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http://dx.doi.org/10.14403/jcms.2019.32.1.23

ON MINIMIZERS FOR THE INTERACTION ENERGY WITH MILDLY REPULSIVE POTENTIAL

Kim, Hwa Kil (Department of Mathematics Education Hannam University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.32, no.1, 2019 , pp. 23-28 More about this Journal

Abstract

In this paper, we consider an interaction energy with attractive-repulsive potential. We survey recent results on the structure of global minimizers for the mildly repulsive interaction energy. We introduce a theorem which is important to the proof of the above results, and give a detailed proof of the theorem.

Keywords

mildly repulsive interaction energy; attractive-repulsive potential;

Citations & Related Records

Reference

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2	J. A. Carrillo, A. Figalli, and F.S.Patacchini, Geometry of minimizers for the interaction energy with mildly repulsive potentials, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 34 (2017), 1299-1308. DOI
3	K. Kang, H. K. Kim, and G. Seo, Cardinality estimation of global minimizer for interaction energy with mildly repulsive potentials, Preprint.