scientific article; zbMATH DE number 2212125
From MaRDI portal
Publication:5694867
zbMath1088.28002MaRDI QIDQ5694867
Giovanni Alberti, Marianna Csörnyei, David Preiss
Publication date: 5 October 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
normal currentsfunctions of bounded variationRademacher theoremDilworth lemmadecomposition of null setsdifferentiability of Lipschitz maps
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Related Items (18)
On the singular part of measures constrained by linear PDEs and applications ⋮ On the differentiability of Lipschitz functions with respect to measures in the Euclidean space ⋮ Rank-one theorem and subgraphs of BV functions in Carnot groups ⋮ Infinitesimal structure of differentiability spaces, and metric differentiation ⋮ BV spaces and the perimeters related to Schrödinger operators with inverse-square potentials and applications to the rank-one theorem ⋮ Metric currents and Alberti representations ⋮ Steady nearly incompressible vector fields in two-dimension: chain rule and renormalization ⋮ On the structure of \({\mathcal A}\)-free measures and applications ⋮ Subgraphs of \(\alpha\)-Hermite BV functions and the rank-one theorem for \(\mathcal{BV}_{\mathcal{H}_{\alpha}}\) ⋮ Ultrametric subsets with large Hausdorff dimension ⋮ Quantitative absolute continuity of planar measures with two independent Alberti representations ⋮ Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^{p}\) data and applications to nonlinear elasticity ⋮ A metric approach to elastic reformations ⋮ Poincaré inequalities for mutually singular measures ⋮ Cone unrectifiable sets and non-differentiability of Lipschitz functions ⋮ Hadamard differentiability via Gâteaux differentiability ⋮ An elementary proof of the rank-one theorem for BV functions ⋮ The Lip-lip equality is stable under blow-up
This page was built for publication: