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Another Pisan workshop in Geometric Analysis

On some boundedness and symmetry results for the minimizers of a non-local energy

speaker: Davide Carazzato (Scuola Normale Superiore)

abstract: In this seminar I will talk about a wide class of non-local energies that are defined on the Radon measures of $\mathbb{R}^N$.

After introducing briefly the literature, I will focus on some new results. I will treat the symmetry of the minimizers, that is closely related to the convexity of the energy.

Then I will pass to the regularity results for the minimizers, that are connected to the previous topic: it is possible to obtain an $L^{\infty}$ bound for the \emph{radial} minimizers if the concentration of the mass is strongly penalized.

This talk is based on a paper in collaboration with Aldo Pratelli.

timetable:
Thu 15 Sep, 9:30 - 10:30, Aula Dini
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