Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
Publication 14-CNA-013
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 14-CNA-013.pdf |