Regularity of minimal and almost minimal sets and cones : J. Taylor's theorem for beginners

Guy David (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We discuss various settings for the Plateau problem, a proof of J. Taylor's regularity theorem for $2$-dimensional almost minimal sets, some applications, and potential extensions of regularity results to the boundary.

Mots clés: Minimal sets; Plateau problem; regularity

Domaines: Analyse classique [math.CA]

Guy David. Regularity of minimal and almost minimal sets and cones : J. Taylor's theorem for beginners. 2012. ⟨hal-00718998⟩