Università degli Studi di Pavia

Dipartimento di Matematica ''F. Casorati''

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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.

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Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
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