Editorial
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...
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)
Existence and Non Existence of Capillary Surfaces.
Existence and regularity of hypersurfaces with prescribed mean curvature and a free boundary.
Existence of discontinuous absolute minima for certain multiple integrals without growth properties
In the present paper the author discusses certain multiple integrals of the calculus of variations satisfying convexity conditions, and no growth property, and the corresponding Serrin integrals , to which the existence theorems in [3,4,5] do not apply. However, in the present paper, the integrals and are reduced to simpler form and to which the existence theorems above apply. Thus, we derive that , , we obtain the existence of the absolute minimum for the Serrin forms and , and...
Existence of embedded solutions of Plateau's problem
Existence results for embedded minimal surfaces of controlled topological type, II
Existence results for embedded minimal surfaces of controlled topological type, I
Existence results for embedded minimal surfaces of controlled topological type, III
Existence, uniqueness, and regularity for functions of least gradient.
Extending Minimal Varieties.