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Lorenzo Mazzieri: Monotonicity formulas in potential theory and applications

Time: Tue 2019-12-03 11.00 - 12.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan

Participating: Lorenzo Mazzieri, University of Trento


We describe some recently discovered monotonicity formulas holding along the level set flow of harmonic and p-harmonic functions, and we employ them to deduce old and new geometric inequalities as well as classification results for static metrics. The results are obtained in collaboration with V. Agostiniani, M. Fogagnolo and A. Pinamonti.