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

  • Guido de Philippis (Universität Zürich, Institut für Mathematik)
A3 01 (Sophus-Lie room)


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).

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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