CRM: Centro De Giorgi
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ERC Workshop on Geometric Partial Differential Equations

Mean-convex Sets and Global Barriers to Minimal Hypersurfaces

speaker: Emanuele Spadaro (Max-Planck-Institut für Mathematik, Leipzig)

abstract: In this talk we will show that the notions of mean-convex sets and global supersolutions to the Plateau problem do not coincide in any reasonable sense. Motivated by this, we will characterize the least global barrier to minimal hypersurfaces with boundary on a given set of $\mathbb{R}n$, $n\leq 7$, in terms of a constrained mean curvature flow with obstacle.

Wed 12 Sep, 10:15 - 11:00, Aula Magna Dipartimento di Matematica
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