The equilibrium measure for an anisotropic nonlocal energy

J. A. Carrillo, J. Mateu, M. G. Mora +3

In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic energies $I_{\alpha }$ defined on probability measures in ${\mathbb{R}}^n$, with $n\ge 3$. The ene…