Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials

DOI10.1007/s00526-020-01882-7zbMath1476.70061arXiv1907.07004OpenAlexW3122959524WikidataQ115386926 ScholiaQ115386926MaRDI QIDQ2225896

Kyungkeun Kang, Geuntaek Seo, Tongseok Lim, Hwa Kil Kim

Publication date: 11 February 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07004

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Variational principles of physics (49S05) The dynamics of infinite particle systems (70F45)

Related Items (5)

Classifying Minimum Energy States for Interacting Particles: Spherical Shells ⋮ Classifying minimum energy states for interacting particles: regular simplices ⋮ Energy on spheres and discreteness of minimizing measures ⋮ Isodiametry, variance, and regular simplices from particle interactions ⋮ Minimizers for a one-dimensional interaction energy

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