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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

Lecturer: Lorenzo Mazzieri, University of Trento

Abstract

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.

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Last changed: Nov 28, 2019