Higher order Sobolev homeomorphisms and mappings and the Lusin \((N)\) condition
From MaRDI portal
Publication:1635698
DOI10.1007/s13163-017-0247-0zbMath1402.46028OpenAlexW2766024807MaRDI QIDQ1635698
Publication date: 1 June 2018
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13163-017-0247-0
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)
Related Items (3)
Hausdorff measure of critical set for Luzin \(N\) condition ⋮ On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property
Cites Work
- Unnamed Item
- Note on Lusin \((N)\) condition and the distributional determinant
- Lectures on mappings of finite distortion
- Bi-Sobolev homeomorphisms \(f\) with \(Df\) and \(Df^{-1}\) of low rank using laminates
- Lusin's condition (N) and mappings with nonnegative Jacobians
- On functions with derivatives in a Lorentz space
- Luzin's condition (N) and Sobolev mappings
- On the Morse-Sard property and level sets of Sobolev and BV functions
- On the Morse-Sard property and level sets of \(W^{n,1}\) Sobolev functions on \(\mathbb{R}^n\)
- Sobolev homeomorphism with zero Jacobian almost everywhere
- Espaces d'interpolation et théorème de Soboleff
- Bounds on moduli of continuity for certain mappings
- Generalized dimension estimates for images of porous sets in metric spaces
- Weakly differentiable functions on varifolds
- Lusin's condition and the distributional determinant for deformations with finite energy
- Lusin's condition (N) and mappings of the class W1, n.
- On the Morse-Sard Theorem for the sharp case of Sobolev mappings
- Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
- Construction of W2,n(Ω) function with gradient violating Lusin (N) condition
This page was built for publication: Higher order Sobolev homeomorphisms and mappings and the Lusin \((N)\) condition
