Interaction Energy minimizers and partial regularity for higher order Obstacle Problems
Dr. Matias Delgadino - ICTP Trieste
Sala conferenze IMATI-CNR, Pavia - Tuesday, May 9, 2017 h.15:00
Abstract. Motivated by swarming models, we analyse local minimizers to the Interaction Energy. Using classical results of potential theory, we show a surprising relationship between local minimizers of the Interaction Energy and solutions to Obstacle Problems. Exploiting this relationship we translate regularity results from one setting onto the other.
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602