Note on Lusin \((N)\) condition and the distributional determinant
From MaRDI portal
Publication:266454
DOI10.1016/j.jmaa.2016.01.002zbMath1351.26024OpenAlexW2286472121MaRDI QIDQ266454
Luigi D'Onofrio, Jan Malý, Stanislav Hencl, Roberta Schiattarella
Publication date: 13 April 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.002
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Continuity and differentiation questions (26B05) Implicit function theorems, Jacobians, transformations with several variables (26B10)
Related Items
Higher order Sobolev homeomorphisms and mappings and the Lusin \((N)\) condition ⋮ On BV homeomorphisms ⋮ Hausdorff measure of critical set for Luzin \(N\) condition ⋮ On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property ⋮ Finding nicer mappings with lower or equal energy in nonlinear elasticity ⋮ Weak regularity of the inverse under minimal assumptions ⋮ On the Hölder continuity of ring \(Q\)-homeomorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lectures on mappings of finite distortion
- Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity
- Diffeomorphic approximation of Sobolev homeomorphisms
- 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 \(\text{det} Df=\text{Det} Df\)
- Diffeomorphic approximation of \(W^{1,1}\) planar Sobolev homeomorphisms
- On a new class of elastic deformations not allowing for cavitation
- Geometric measure theory.
- Space mappings with bounded distortion
- Higher dimensional mappings for which the area formula holds
- Weak continuity and lower semicontinuity results for determinants
- Lusin's condition and the distributional determinant for deformations with finite energy
- Global invertibility of Sobolev functions and the interpenetration of matter
- Some fine properties of currents and applications to distributional Jacobians
- Invertibility and a Topological Property of Sobolev Maps
- Mappings of finite distortion: Condition \(N\)
- Mappings of finite distortion: Discreteness and openness
- Sobolev homeomorphism that cannot be approximated by diffeomorphisms in \(W^{1,1}\)
