scientific article

zbMath0634.49001MaRDI QIDQ3772804

Herbert Federer

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

regularitybibliographydifferential formscurrentscalculus of variationsLipschitzian mapsrectifiabilityminimizing currentsflat chainsmeasure and integrationGrassmann (exterior) algebrahomological integrationintegral flat chains

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integration on manifolds; measures on manifolds (58C35) Length, area, volume, other geometric measure theory (28A75) Exterior differential systems (Cartan theory) (58A15) Currents in global analysis (58A25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01) Manifolds and measure-geometric topics (49Q99)

Related Items

Convergence of products of operator orientations, Generalized solutions to a free boundary problem of motion of a non- Newtonian fluid, An example of a one-dimensional rigid set in the plane, Optimizing estimation of a statistically undefined system, Mappings of bounded variation and the method of moduli, On an equilibrium shape of a crystal, Approximately differentiable transformations and change of variables on nilpotent groups, On reducibility of zero sets of entire functions of several variables, Analytic properties of quasiconformal mappings on Carnot groups, Topological equivalence of polynomials and quasi-isometric mappings of the plane, Operators on a nonlocally compact group algebra, Nonmeasurable automorphisms of Lie groups relative to real- and non-archimedean-valued measures, Condensers and equivalent open sets on a Riemann surface, On the Orlicz-Sobolev classes and mappings with bounded Dirichlet integral, On the lower order of mappings with finite length distortion, Kolmogorov's abstract theorem: application to metric spaces and topological groups, Weighted modules and capacities on a Riemann surface, Removable sets for the generalized module of a surface family, On the theory of convergence and compactness for Beltrami equations with constraints of set-theoretic type, Lower bounds for the volume of the image of a ball, \(L_p\)-cohomologies of warped products of Lipschitz Riemannian manifolds, Relations between length and instability of tubular extremal surfaces, Passage to the limit with respect to a small parameter in Cahn-Hilliard equations