Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
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Publication:1647397
DOI10.1016/j.aim.2018.04.017zbMath1392.26019OpenAlexW2808951117WikidataQ109744320 ScholiaQ109744320MaRDI QIDQ1647397
Daniel Campbell, Stanislav Hencl, Ville Tengvall
Publication date: 26 June 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2018.04.017
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)
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Surface penalization of self-interpenetration in linear and nonlinear elasticity ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Jacobian of weak limits of Sobolev homeomorphisms ⋮ A sense‐preserving Sobolev homeomorphism with negative Jacobian almost everywhere ⋮ Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian ⋮ Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)] ⋮ Bing meets Sobolev ⋮ Smooth homeomorphic approximation of piecewise affine homeomorphisms ⋮ Approximation of planar SobolevW2,1homeomorphisms by piecewise quadratic homeomorphisms and diffeomorphisms
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