Guy David, University of Paris XI
PDL C-401
We try a first description of soap films $E$ (more precisely, almost minimal sets of dimension $2$) attached to a smooth curve $L$ (for instance, by ways of a "sliding boundary condition" where continuous deformation of $E$ that preserve $L$), near the boundary $L$. The idea is to get a local $C^1$ description of $E$ near $L$, depending on the blow-up limits of $E$ at $x \in L$.