Seminar Analysis: Guido de Philippis (University of Zurich)

Regularity of Free Boundaries in Anisotropic Capillarity Problems and the Validity of Young’s Law

Local volume-constrained minimizers in anisotropic capillarity problems develop free boundaries on the walls of their containers. We prove the regularity of the free boundary outside a small set, showing in particular the validity of Young’s law at almost every point (joint with Francesco Maggi).

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