Global minimisers for anisotropic attractive-repulsive interactions

Gunnar Kaib, Kyungkeun Kang, Angela Stevens

Research output: Contribution to journalArticle


We prove the existence of global minimisers for a class of attractive-repulsive interaction potentials that are in general not radially symmetric. The global minimisers have compact support. For potentials including degenerate power-law diffusion, the interaction potential can be unbounded from below. Further, a formal calculation indicates that for non-symmetric potentials global minimisers may neither be radial symmetric nor unique.

Original languageEnglish
JournalEuropean Journal of Applied Mathematics
Publication statusAccepted/In press - 2019 Jan 1


All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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