Distributional Jacobian equal to \(\mathcal{H}^1\) measure
From MaRDI portal
Publication:457845
DOI10.1016/j.anihpc.2013.08.002zbMath1364.46038OpenAlexW2009123023MaRDI QIDQ457845
Zhuomin Liu, Jan Malý, Stanislav Hencl
Publication date: 29 September 2014
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2013.08.002
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions and ultradistributions as boundary values of analytic functions (46F20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Jacobian determinant revisited
- An extension of the identity Det = det
- Regularity properties of deformations with finite energy
- On the integrability of the Jacobian under minimal hypotheses
- Convexity conditions and existence theorems in nonlinear elasticity
- A remark on the equality \(\text{det} Df=\text{Det} Df\)
- On the singular support of the distributional determinant
- Some remarks on the distributional Jacobian
- On a new class of elastic deformations not allowing for cavitation
- Sobolev homeomorphism with zero Jacobian almost everywhere
- Minimal assumptions for the integrability of the Jacobian
- Functions of bounded higher variation
This page was built for publication: Distributional Jacobian equal to \(\mathcal{H}^1\) measure
