Camille Labourie

collaborators

2 papers

math.CA2025

An existence theorem for sliding minimal sets

Guy David, Camille Labourie

We prove an existence theorem for the sliding boundary variant of the Plateau problem for $2$ -dimensional sets in $R^{n}$ . The simplest case of sufficient condition is when…

math.CA2024

Optimal regularity for quasiminimal sets of codimension one in $R^{2}$ and $R^{3}$

Camille Labourie, Yana Teplitskaya

Quasiminimal sets are sets for which a pertubation can decrease the area but only in a controlled manner. We prove that in dimensions $2$ and $3$ , such sets separate a locally fini…

An existence theorem for sliding minimal sets

Optimal regularity for quasiminimal sets of codimension one in R2 and R3

Optimal regularity for quasiminimal sets of codimension one in $R^{2}$ and $R^{3}$