CORDIS Project
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This project investigates the Plateau's problem, focusing on finding minimal surfaces that span given contours. It aims to develop a more flexible and accessible theory of regularity for higher-dimensional surfaces, building on existing mathematical frameworks to enhance understanding and applications in geometry.
The Plateau's problem consists in finding the surface of least area spanning a given contour.
This question has attracted the attention of many mathematicians in the last two centuries, providing a prototypical problem for several fields of research in mathematics.
For hypersurfaces a lot is known about the existence and regularity thanks to the classical works of De Giorgi, Almgren, Fleming, Federer, Simons, Allard, Simon, Schoen and several other authors.In higher codimension a quite powerful…
University of Zurich
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