SHOULD WE SOLVE PLATEAU'S PROBLEM AGAIN?

Guy David (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

After a short description of various classical solutions of Plateau's problem, we discuss other ways to model soap films, and some of the related questions that are left open. A little more attention is payed to a more specific model, with deformations and sliding boundary conditions.

Mots clés: Plateau problem; Minimal sets; Almgren restricted sets; Soap films; Hausdorff measure

Domaines: Analyse classique [math.CA]

Guy David. SHOULD WE SOLVE PLATEAU'S PROBLEM AGAIN?. 2012. ⟨hal-00718979⟩