Editorial
Ein Eindeutigkeitssatz für Minimalflächen im Rp mit polygonalem Rand.
Eine Bemerkung zur Regularität stationärer Punkte von konform invarianten Variationsintegralen.
Elastic knots in euclidean 3-space
Electrical Impedance Tomography: from topology to shape
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields
The electrowetting process is commonly used to handle very small amounts of liquid on a solid surface. This process can be modelled mathematically with the help of the shape optimization theory. However, solving numerically the resulting shape optimization problem is a very complex issue, even for reduced models that occur in simplified geometries. Recently, the second author obtained convincing results in the 2D axisymmetric case. In this paper, we propose and analyze a method that is suitable...
Embedded, doubly periodic minimal surfaces.
Embedded solutions for exterior minimal surface problems.
Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem.
Ensembles quasi-minimaux avec contrainte de volume et rectifiabilité uniforme
Ensembles quasiminimaux pour le périmètre avec contrainte de volume et rectificabilité uniforme
Epitaxially strained elastic films: the case of anisotropic surface energies
In the context of a variational model for the epitaxial growth of strained elastic films, we study the effects of the presence of anisotropic surface energies in the determination of equilibrium configurations. We show that the threshold effect that describes the stability of flat morphologies in the isotropic case remains valid for weak anisotropies, but is no longer present in the case of highly anisotropic surface energies, where we show that the flat configuration is always a local minimizer...
Equations of mean curvature type on exterior domains.
Equazioni di bilancio della meccanica dei continui nell’ambito della teoria geometrica della misura
Si dà una presentazione della formulazione delle equazioni di bilancio della Meccanica dei Continui tramite l'approccio insiemistico (flussi e interazioni di Cauchy) e quello distribuzionale (potenze virtuali), illustrando i progressi ottenuti nell'indebolimento delle ipotesi, fino a comprendere campi tensoriali a divergenza misura. Si mostra poi come l'approccio attraverso il Principio delle potenze virtuali permetta di individuare il tensore degli sforzi anche nel caso di un corpo continuo dotato...
Equivalence of geometric and combinatorial Dehn functions.
Equivalent formulation and numerical analysis of a fire confinement problem
We consider a class of variational problems for differential inclusions, related to the control of wild fires. The area burned by the fire at time t> 0 is modelled as the reachable set for a differential inclusion ∈F(x), starting from an initial set R0. To block the fire, a barrier can be constructed progressively in time. For each t> 0, the portion of the wall constructed within time t is described by a rectifiable set γ(t) ⊂. In this paper we show that the search for blocking strategies...
Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)
Esistenza e regolarità per il problema dell’area minima con ostacoli in variabili
Espaces variationnels et mécanique
Ce travail est essentiellement consacré aux systèmes dynamiques non conservatifs, la force généralisée dépendant à la fois des paramètres de position et de vitesse . désignant l’espace-temps de configuration, l’espace fibré des vecteurs tangents, celui des directions tangentes à , on caractérise par son lagrangien homogène et le tenseur-force antisymétrique dont le produit contracté par le vecteur vitesse donne le vecteur force généralisé.Dans la première partie, on étudie l’algèbre...
Estimates for Evolutionary Surfaces of Prescribed Mean Curvature.