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On the minimization of various energies of Riesz-type.

Prof. Aldo Pratelli

Dienstag, 11. Mai 2021 14:15Uhr

The celebrated liquid drop model by Gamow, which dates back to the 1930's, has attracted since then a lot of attention among physicists and mathematicians. In particular, there has been a deep increase in the mathematical interest about this problem and several generalisations in the last decade, with many proven results but also fundamental questions still open. We will give a general overview on these problems, concluding with some very recent results, obtained in some collaborations with Carazzato, Fusco, Novaga.