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A topological aspect of Sobolev mappings

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Publication:1349267
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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


zbMATH Keywords

Sobolev space


Mathematics Subject Classification ID

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)


Related Items (5)

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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