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Abstract

We describe some recently discovered monotonicity formulas holding along the level set flow of harmonic and p-harmonic functions. The main geometric implications will then be discussed, including Willmore-type inequalities, Minkowski inequalities and, time permitting, an optimal version of Huisken’s isoperimetric inequality for three-manifolds with nonnegative Ricci curvature. The results are obtained in collaboration with V. Agostiniani, M. Fogagnolo and A. Pinamonti.

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Archive of the Analysis Seminar

Archive of the Seminar Series for the years 2012-2023.
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