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.
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 of minimizers for non-quasiconvex functionals arising in optimal design
Existence of solutions for the one-phase and the multi-layer free-boundary problems with the -Laplacian operator.
Existence, Regularity, and Boundary Behaviour of Generalized Surfaces of Prescribed Mean Curvature.
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.
Fast level set based algorithms using shape and topological sensitivity information
Feldtheorie in der Variationsrechnung mehrfacher Integrale.
Finiteness of the number of ends of minimal submanifolds in euclidean space.
First variation of the general curvature-dependent surface energy
We consider general surface energies, which are weighted integrals over a closed surface with a weight function depending on the position, the unit normal and the mean curvature of the surface. Energies of this form have applications in many areas, such as materials science, biology and image processing. Often one is interested in finding a surface that minimizes such an energy, which entails finding its first variation with respect to perturbations of the surface. We present a concise derivation...