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Plateau's problem
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==Physical applications== Physical soap films are more accurately modeled by the <math>(M, 0, \Delta)</math>-minimal sets of [[Frederick Almgren]], but the lack of a compactness theorem makes it difficult to prove the existence of an area minimizer. In this context, a persistent open question has been the existence of a least-area soap film. [[Ernst Robert Reifenberg]] solved such a "universal Plateau's problem" for boundaries which are homeomorphic to single embedded spheres.
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