Guy C. David

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math.CA2026

Coarse and pointwise tangent fields

Guy C. David, Sylvester Eriksson-Bique, Raanan Schul

Alberti, CsÃ¶rnyei 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…

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…