scientific article; zbMATH DE number 5268791

zbMath1221.46030MaRDI QIDQ5301255

Camillo De Lellis

Publication date: 29 April 2008

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

zbMATH Keywords

rank-one theoremtotal variation measuresingular part of measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (11)

Fine properties of functions of bounded deformation -- an approach via linear PDEs ⋮ Rank-one theorem and subgraphs of BV functions in Carnot groups ⋮ BV spaces and the perimeters related to Schrödinger operators with inverse-square potentials and applications to the rank-one theorem ⋮ On the structure of \({\mathcal A}\)-free measures and applications ⋮ Microlocal analysis of singular measures ⋮ Subgraphs of \(\alpha\)-Hermite BV functions and the rank-one theorem for \(\mathcal{BV}_{\mathcal{H}_{\alpha}}\) ⋮ Lower semicontinuity for integral functionals in the space of functions of bounded deformation via rigidity and Young measures ⋮ An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint ⋮ A uniqueness result for the decomposition of vector fields in \(\mathbb{R}^d\) ⋮ An elementary proof of the rank-one theorem for BV functions ⋮ Differentiability in measure of the flow associated with a nearly incompressible BV vector field

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