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Regularity of free boundaries in anisotropic capillarity problems and the validity of the Young's law

  • Date April 16, 2015
  • Hour 3 pm
  • Room GSSI Main Lecture Hall
  • Speaker Guido De Philippis (Hausdorff Center for Mathematics, Bonn, Germany)
  • Area Maths

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).