Abstract for the talk at 03.06.2014 (15:15 h)Oberseminar ANALYSIS - PROBABILITY
Guido de Philippis (Universität Zürich, Institut für Mathematik)
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 negligible set , showing in particular the validity of Young's law at almost every point (joint with Francesco Maggi).