$L^2$-regularity of minimizers of anisotropic interaction functionals

Tristan Bullion-Gauthier, Kai Xiao

We consider interaction functionals of the form \begin{equation*} ν\mapsto {\mathscr E}(ν)=\int\_{{\mathbb R}^N}\int\_{{\mathbb R}^N} W(x-y)\intdν(y)\intdν(x)+\int\_{{\mathbb R}^N}…