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Center for Nonlinear Analysis
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Publication 14-CNA-013
Existence of Minimizers of Nonlocal Interaction Energies Robert Simione Dejan Slepčev Ihsan Topaloglu Abstract: We investigate nonlocal-interaction energies on the space of probability measures. We establish sharp conditions for the existence of minimizers for a broad class of nonlocal-interaction energies. The condition is closely related to the notion of $H$-stability of pairwise interaction potentials in statistical mechanics. Our approach uses the direct method of calculus of variations. Get the paper in its entirety as |
