Mercoledì 27 novembre 2013
REGULARITY OF FREE BOUNDARIES IN ANISOTROPIC CAPILLARITY PROBLEMS AND THE VALIDITY OF YOUNG'S LAW
GUIDO DE PHILIPPIS
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).