Homeomorphism with zero Jacobian: sharp integrability of the derivative
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Publication:710919
DOI10.1016/j.jmaa.2010.06.053zbMath1214.26008OpenAlexW2126612798MaRDI QIDQ710919
Publication date: 22 October 2010
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.2010.06.053
Implicit function theorems, Jacobians, transformations with several variables (26B10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)
Related Items (11)
Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian ⋮ Grand Sobolev spaces and their applications in geometric function theory and PDEs ⋮ Bi-Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Sobolev homeomorphisms with gradients of low rank via laminates ⋮ On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings ⋮ Bi-Sobolev homeomorphisms \(f\) with \(Df\) and \(Df^{-1}\) of low rank using laminates ⋮ Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)] ⋮ On the approximate differentiability of inverse maps ⋮ Sobolev homeomorphism that cannot be approximated by diffeomorphisms in \(W^{1,1}\) ⋮ Moser-Trudinger inequality in grand Lebesgue space
Cites Work
- Unnamed Item
- On the integrability of the Jacobian under minimal hypotheses
- On the singular support of the distributional determinant
- Sobolev homeomorphism with zero Jacobian almost everywhere
- Some geometrical properties of functions and mappings with generalized derivatives
- Change of variables formula under minimal assumptions
- Mappings of finite distortion: Condition \(N\)
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