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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 -dimensional sets in . The simplest case of sufficient condition is when…
math.CA2025
Coarse and pointwise tangent fields
Guy C. David, Sylvester Eriksson-Bique, Raanan Schul
Alberti, Csörnyei and Preiss introduced a notion of a "pointwise (weak) tangent field" for a subset of Euclidean space -- a field that contains almost every tangent line of every c…