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The Plateau problem for polygonal boundary curves in Minkowski 3-space
maximal immersions with singularities integrable systems
2011/2/21
We apply Garnier’s method to solve the Plateau problem for maximal surfaces in Minkowski 3-space. Our study relies on the improved version we gave in [4] of Garnier’s resolution [12] of the Plateau pr...
Problème de Plateau, équations fuchsiennes et problème de Riemann-Hilbert
Plateau problem polygonal boundary three-dimensional euclidean space
2010/4/6
This dissertation is devoted to the resolution of the Plateau problem in the case of a polygonal boundary in the three-dimensional euclidean space. It relies on a method developped by Ren\'e Garnier a...