Some remarks on the distributional Jacobian

DOI10.1016/S0362-546X(03)00046-4zbMath1025.49030MaRDI QIDQ1395846

Camillo De Lellis

Publication date: 1 July 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

chain ruleco-area formuladistributional Jacobiansfunctions of higher bounded variations

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10)

Related Items (11)

Strict convergence with equibounded area and minimal completely vertical liftings ⋮ Luzin's condition (N) and Sobolev mappings ⋮ Functions of bounded higher variation in the fractional Sobolev spaces ⋮ Distributional Jacobian equal to \(\mathcal{H}^1\) measure ⋮ Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces ⋮ Local currents in metric spaces ⋮ An extension of the identity Det = det ⋮ A product-estimate for Ginzburg-Landau and corollaries ⋮ Weak regularity of the inverse under minimal assumptions ⋮ Compactness of special functions of bounded higher variation ⋮ Weak notions of Jacobian determinant and relaxation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a partial differential equation involving the Jacobian determinant
• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• An existence theory for nonlinear elasticity that allows for cavitation
• Degree theory of BMO. I: Compact manifolds without boundaries
• Functions of bounded higher variation
• Some fine properties of currents and applications to distributional Jacobians
• Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
• Currents in metric spaces

This page was built for publication: Some remarks on the distributional Jacobian