Add to ORKGWe prove a new existence theorem pertaining to the Plateau problem in 3-dimensional Euclidean space. We compare the approach of E.R. Reifenberg with that of H. Federer and WH. Fleming. A relevant technical step consists in showing that compact rectifiable surfaces are approximatable in Hausdorff measure and in Hausdorff distance by locally acyclic surfaces having the same boundar
61 pagesWe study the existence of solutions to general measure-minimization problems over topologica...
By using a simple topological argument, we show that the space of closed, orientable, codimension-1 ...
In the nineteenth century, Joseph Plateau described the geometrical disposition of soap films. Their...
This paper proposes a direct approach to solve the Plateau's problem in codimension higher than one....
The Plateau problem in $\mbb{R}^3$ begins with a given simple, closed curve $\gamma$, and asks to f...
Abstract. This paper aims to propose a direct approach to solve the Plateau’s problem in codimension...
Plateau’s problem is to show the existence of an area minimizing surface with a given boundary, a pr...
Résoudre le Problème de Plateau signifie trouver la surface ayant l’aire minimale parmi toutes les s...
We prove existence theorems for two-dimensional non-compact complete minimal surfaces in Rn of annul...
Abstract. Plateau’s soap film problem is to find a surface of least area spanning a given boundary. ...
In this paper, we give some examples of area-minimizing surfaces to clarify some wellknown features ...
We provide a compactness principle which is applicable to different formulations of Plateau's proble...
We prove a compactness principle for the anisotropic formulation of the Plateau problem in any codim...
We prove a compactness principle for the anisotropic formulation of the Plateau problem in any codim...
We solve the classical problem of Plateau in the setting of proper metric spaces. Precisely, we pro...
61 pagesWe study the existence of solutions to general measure-minimization problems over topologica...
By using a simple topological argument, we show that the space of closed, orientable, codimension-1 ...
In the nineteenth century, Joseph Plateau described the geometrical disposition of soap films. Their...
This paper proposes a direct approach to solve the Plateau's problem in codimension higher than one....
The Plateau problem in $\mbb{R}^3$ begins with a given simple, closed curve $\gamma$, and asks to f...
Abstract. This paper aims to propose a direct approach to solve the Plateau’s problem in codimension...
Plateau’s problem is to show the existence of an area minimizing surface with a given boundary, a pr...
Résoudre le Problème de Plateau signifie trouver la surface ayant l’aire minimale parmi toutes les s...
We prove existence theorems for two-dimensional non-compact complete minimal surfaces in Rn of annul...
Abstract. Plateau’s soap film problem is to find a surface of least area spanning a given boundary. ...
In this paper, we give some examples of area-minimizing surfaces to clarify some wellknown features ...
We provide a compactness principle which is applicable to different formulations of Plateau's proble...
We prove a compactness principle for the anisotropic formulation of the Plateau problem in any codim...
We prove a compactness principle for the anisotropic formulation of the Plateau problem in any codim...
We solve the classical problem of Plateau in the setting of proper metric spaces. Precisely, we pro...
61 pagesWe study the existence of solutions to general measure-minimization problems over topologica...
By using a simple topological argument, we show that the space of closed, orientable, codimension-1 ...
In the nineteenth century, Joseph Plateau described the geometrical disposition of soap films. Their...