TY - JOUR
T1 - Global minimisers for anisotropic attractive-repulsive interactions
AU - Kaib, Gunnar
AU - Kang, Kyungkeun
AU - Stevens, Angela
N1 - Publisher Copyright:
© Cambridge University Press 2019.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
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U2 - 10.1017/S0956792519000299
DO - 10.1017/S0956792519000299
M3 - Article
AN - SCOPUS:85074114006
SN - 0956-7925
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
ER -