A topological aspect of Sobolev mappings
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Publication:1349267
DOI10.1007/s005260100091zbMath1020.46008OpenAlexW2035797866MaRDI QIDQ1349267
David Swanson, William P. Ziemer
Publication date: 21 May 2002
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s005260100091
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elasticity (74B20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)
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Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition ⋮ Jacobians of Sobolev homeomorphisms ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ Hyperelastic deformations of smallest total energy ⋮ Injectivity almost everywhere for weak limits of Sobolev homeomorphisms
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