3 papers
math.CA2016
Universal Schlesinger system and Birkhoff factorization
Laura Desideri
The aim of this paper is to establish an infinite dimensional generalization of the Schlesinger system -- a system of PDE's describing isomonodromic deformations of Fuchsian system…
math.DG2011
Immersed solutions of Plateau's problem for piecewise smooth boundary curves with small total curvature
Laura Desideri, Ruben Jakob
We provide a new proof of the classical result that any closed rectifiable Jordan curve Gamma in space being piecewise of class C^2 bounds at least one immersed minimal surface of…
math.DG2010
The Plateau problem for polygonal boundary curves in Minkowski 3-space
Laura Desideri
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 of R. Garnier's resolution of the…