Stabilité isopérimétrique
Stability in a ball-partition problem.
Stability of the Steiner symmetrization of convex sets
The isoperimetric inequality for Steiner symmetrization of any codimension is investigated and the equality cases are characterized. Moreover, a quantitative version of this inequality is proven for convex sets.
Stable defects of minimizers of constrained variational principles
Strong minimizers of Blake & Zisserman functional
Structure of entropy solutions to the eikonal equation
Successioni convergenti di ipersuperfici di curvatura media assegnata
Suddivisioni ottimali di domini n-dimensionali
Sul problema della goccia appoggiata
Sulla curvatura di Gauss delle superfici dei capillari
Sulla variazione totale del gradiente di una funzione
Superficie minime illimitate
Sur la régularité du profil isopérimétrique des surfaces riemanniennes compactes
On montre que, sur une surface riemannienne compacte, le profil isopérimétrique admet un développement limité à l’ordre en . Lorsque la métrique est analytique, le profil est semi-analytique. Il existe des métriques lisses sur la -sphère dont le profil n’est pas de classe au voisinage de .
Surfaces of Prescribed Mean Curvature with Inequalities on the Boundary.
Surfaces quasiminimales de codimension 1 et domaines de John
Surfaces quasiminimales de codimension 1 : un morceau de démonstration
Synchronized traffic plans and stability of optima
The irrigation problem is the problem of finding an efficient way to transport a measure μ+ onto a measure μ-. By efficient, we mean that a structure that achieves the transport (which, following [Bernot, Caselles and Morel, Publ. Mat.49 (2005) 417–451], we call traffic plan) is better if it carries the mass in a grouped way rather than in a separate way. This is formalized by considering costs functionals that favorize this property. The aim of this paper is to introduce a dynamical cost functional...
The BV-energy of maps into a manifold : relaxation and density results
Let be a smooth compact oriented riemannian manifoldwithout boundary, and assume that its -homology group has notorsion. Weak limits of graphs of smooth maps with equibounded total variation give riseto equivalence classes of cartesian currents in for which we introduce a natural-energy.Assume moreover that the first homotopy group of iscommutative. In any dimension we prove that every element in can be approximatedweakly in the sense of currents by a sequence of graphs...
The Curvature of a Set with Finite Area
In a paper, by myself, E. Gonzalez and I. Tamanini (see [2]), it was proven that all sets of finite perimeter do have a non trivial variational property, connected with the mean curvature of their boundaries. In the present article, that variational property is made more precise.
The Dirichlet integral for mappings between manifolds: Cartesian currents and homology.