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MiS Preprint
32/2019
Global Minimizers for Anisotropic Attractive-Repulsive Interactions
Gunnar Kaib, Kyungkeun Kang and Angela Stevens
Abstract
We prove existence of global minimizers for a class of attractive-repulsive interaction potentials that are in general not radially symmetric. The global minimizers 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 minimizers may neither be radial symmetric nor unique.
