Plateau's Problem as a Singular Limit of Capillarity Problems
Plateau's Problem as a Singular Limit of Capillarity Problems
Abstract Soap films at equilibrium are modeled, rather than as surfaces, as regions of small total volume through the introduction of a capillarity problem with a homotopic spanning condition. This point of view introduces a length scale in the classical Plateau's problem, which is in turn recovered in the vanishing …