Publication: A direct approach to Plateau's problem
A direct approach to Plateau's problem
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De Lellis, C., Ghiraldin, F., & Maggi, F. (2017). A direct approach to Plateau’s problem. Journal of the European Mathematical Society, 19(8), 2219–2240. https://doi.org/10.4171/JEMS/716
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We provide a compactness principle which is applicable to different formulations of Plateau's problem in codimension one and which is exclusively based on the theory of Radon measures and elementary comparison arguments. Exploiting some additional techniques in geometric measure theory, we can use this principle to give a different proof of a theorem by Harrison and Pugh and to answer a question raised by Guy David. © European Mathematical Society 2017.
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- De Lellis, Camillo
- Ghiraldin, Francesco
- Maggi, Francesco
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De Lellis, C., Ghiraldin, F., & Maggi, F. (2017). A direct approach to Plateau’s problem. Journal of the European Mathematical Society, 19(8), 2219–2240. https://doi.org/10.4171/JEMS/716
