Jacobians of Sobolev homeomorphisms
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Publication:982223
DOI10.1007/s00526-009-0284-8zbMath1198.26016OpenAlexW2057277591MaRDI QIDQ982223
Publication date: 6 July 2010
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-009-0284-8
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)
Related Items (24)
Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian ⋮ Absolute continuity of mappings with finite geometric distortion ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition ⋮ Bi-Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Energy-minimal diffeomorphisms between doubly connected Riemann surfaces ⋮ Jacobian of weak limits of Sobolev homeomorphisms ⋮ Some remarks on Sobolev and bi-Sobolev mappings ⋮ A sense‐preserving Sobolev homeomorphism with negative Jacobian almost everywhere ⋮ Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Critical points for Sobolev homeomorphisms ⋮ Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian ⋮ Composition of \(q\)-quasiconformal mappings and functions in Orlicz-Sobolev spaces ⋮ Approximation of piecewise affine homeomorphisms by diffeomorphisms ⋮ Existence of energy-minimal diffeomorphisms between doubly connected domains ⋮ Recent studies on Sobolev mappings ⋮ Composition operators on \(W^1X\) are necessarily induced by quasiconformal mappings ⋮ A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere ⋮ A metric approach to elastic reformations ⋮ Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)] ⋮ Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings ⋮ Linking topological spheres ⋮ Sobolev homeomorphism that cannot be approximated by diffeomorphisms in \(W^{1,1}\) ⋮ Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
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